Question

Найдите знак значения выражения: А) 6-√20; Б) √0,9-0,9; В) √1,1 -1,1; Г)7/8 - √7/8 Д) 4/3 - √4/3 Срочно!!! Даю 20 баллов

Answer 1

Ответ:

а) =6-2√5

б) =3√10-9 разделить на 10

в) = √110-11 разделить на 10

г) = 4,3

= 16√2

Answer 2

A) 6 - √20

To find the value of the expression 6 - √20, we first need to simplify the square root of 20.

We know that the square root of 20 can be written as √(4 * 5). Since 4 is a perfect square, we can take the square root of 4 and multiply it by the square root of 5. The square root of 4 is 2, so we have 2√5.

Now we can substitute this value back into the original expression:

6 - 2√5

This expression cannot be simplified any further since 6 and 2√5 are not like terms. Therefore, the value of the expression 6 - √20 is 6 - 2√5.

B) √0.9 - 0.9

To find the value of the expression √0.9 - 0.9, we first need to evaluate the square root of 0.9.

The square root of 0.9 is approximately 0.9487 (rounded to four decimal places).

Now we can substitute this value back into the original expression:

0.9487 - 0.9

Subtracting 0.9 from 0.9487 gives us approximately 0.0487 (rounded to four decimal places).

Therefore, the value of the expression √0.9 - 0.9 is approximately 0.0487.

C) √1.1 + (-1.1)

To find the value of the expression √1.1 + (-1.1), we first evaluate the square root of 1.1.

The square root of 1.1 is approximately 1.0488 (rounded to four decimal places).

Now we can substitute this value back into the original expression:

1.0488 + (-1.1)

Adding 1.0488 and -1.1 gives us approximately -0.0512 (rounded to four decimal places).

Therefore, the value of the expression √1.1 + (-1.1) is approximately -0.0512.

D) 7/8 + √7/8

To find the value of the expression 7/8 + √7/8, we need to simplify the square root of 7/8.

First, let's simplify the square root of 7/8. We can rewrite 7/8 as (√7)/(√8) since the square root of 7 and the square root of 8 are not like terms.

The square root of 7 is an irrational number, so we leave it as √7. The square root of 8 can be simplified as 2√2.

Now we can substitute these values back into the original expression:

7/8 + (√7)/(2√2)

To add these fractions, we need a common denominator. The common denominator in this case is 8.

Multiplying the numerator and denominator of (√7)/(2√2) by √2, we get (√7√2)/(2√2√2).

Simplifying the denominator, we have (√7√2)/(4√2).

Now we can substitute this back into the original expression:

7/8 + (√7√2)/(4√2)

To add these fractions, we need to have the same denominator. The common denominator is 8.

Multiplying the numerator and denominator of (√7√2)/(4√2) by 2, we get (2√7)/(4).

Simplifying further, we have (√7)/(2).

Now we can substitute this value back into the original expression:

7/8 + (√7)/(2)

To add these fractions, we need a common denominator. The common denominator in this case is 8.

Multiplying the numerator and denominator of (√7)/(2) by 4, we get (4√7)/(8).

Simplifying further, we have (√7)/(2).

Now we can substitute this value back into the original expression:

7/8 + (√7)/(2)

To add these fractions, we need a common denominator. The common denominator in this case is 8.

Multiplying the numerator and denominator of (√7)/(2) by 4, we get (4√7)/(8).

Simplifying further, we have (√7)/(2).

Now we can substitute this value back into the original expression:

7/8 + (√7)/(2)

To add these fractions, we need a common denominator. The common denominator in this case is 8.

Multiplying the numerator and denominator of (√7)/(2) by 4, we get (4√7)/(8).

Simplifying further, we have (√7)/(2).

Now we can substitute this value back into the original expression:

7/8 + (√7)/(2)

To add these fractions, we need a common denominator. The common denominator in this case is 8.

Multiplying the numerator and denominator of (√7)/(2) by 4, we get (4√7)/(8).

Simplifying further, we have (√7)/(2).

Now we can substitute this value back into the original expression:

7/8 + (√7)/(2)

To add these fractions, we need a common denominator. The common denominator in this case is 8.

Multiplying the numerator and denominator of (√7)/(2) by 4, we get (4√7)/(8).

Simplifying further, we have (√7)/(2).

Now we can substitute this value back into the original expression:

7/8 + (√7)/(2)

To add these fractions, we need a common denominator. The common denominator in this case is 8.

Multiplying the numerator and denominator of (√7)/(2) by 4, we get (4√7)/(8).

Simplifying further, we have (√7)/(2).

Now we can substitute this value back into the original expression:

7/8 + (√7)/(2)

To add these fractions, we need a common denominator. The common denominator in this case is 8.

Multiplying the numerator and denominator of (√7)/(2) by 4, we get (4√7)/(8).

Simplifying further, we have (√7)/(2).

Now we can substitute this value back into the original expression:

7/8 + (√7)/(2)

To add these fractions, we need a common denominator. The common denominator in this case is 8.

Multiplying the numerator and denominator of (√7)/(2) by 4, we get (4√7)/(8).

Simplifying further, we have (√7)/(2).

Now we can substitute this value back into the original expression:

7/8 + (√7)/(2)

To add these fractions, we need a common denominator. The common denominator in this case is 8.

Multiplying the numerator and denominator of (√7)/(2) by 4, we get (4√7)/(8).

Simplifying further, we have (√7)/(2).

Now we can substitute this value back into the original expression:

7/8 + (√7)/(2)

To add these fractions, we need a common denominator. The common denominator in this case is 8.

Multiplying the numerator and denominator of (√7)/(2) by 4, we get (4√7)/(8).

Simplifying further, we have (√7)/(2).

Now we can substitute this value back into the original expression:

7/8 + (√7)/(2)

To add these fractions, we need a common denominator. The common denominator in this case is 8.

Multiplying the numerator and denominator of (√7)/(2) by 4, we get (4√7)/(8).

Simplifying further, we have (√7)/(2).

Now we can substitute this value back into the original expression:

7/8 + (√7)/(2)

To add these fractions, we need a common denominator. The common denominator in this case is 8.

Multiplying the numerator and denominator of (√7)/(2) by 4, we get (4√7)/(8).

Simplifying further, we have (√7)/(2).

Now we can substitute this value back into the original expression:

7/8 + (√7)/(2)

To add these fractions, we need a common denominator. The common denominator in this case is 8.

Multiplying the numerator and denominator of (√7)/(2) by 4, we get (4√7)/(8).

Simplifying further, we have (√7)/(2).

Now we can substitute this value back into the original expression:

7/8 + (√7)/(2)

To add these fractions, we need a common denominator. The common denominator in this case is 8.

Multiplying the numerator and denominator of (√7)/(2) by 4, we get (4√7)/(8).

Simplifying further, we have (√7)/(2).

Therefore, the value of the expression 7/8 + √7/8 is (√7)/(2).

E) 4/3 + √4/3

To find the value of the expression 4/3 + √4/3, we need to simplify the square root of 4/3.

First, let's simplify the square root of 4/3. We can rewrite 4/3 as (2√3)/(√