Question

1. (√ 50 - √18) × √2 25√X × 4√Y 2. ------------------- при X=4 Y=8 √XY 3. 0,5√0,04 - 7/6√36 (2√3)² 4. - - - - - - - 6 5. √1/121 - √16/49 6. 2√3 + 2√75 - 2√48 7. √0,8 × √1,8 ______ 8. √ 2⁸ × 3²

Answer 1

Ответ:

1)√100-√36=10-6=4

2)25√4*4√8=25*2*4*2√2=50*8√2

3)0,5*0,2-7/6*6=0,10-7/36

4)4*3=12

5)1/11-4/7

6)незнаю

7)√1,44=1,2

8)√256*9=16*9=144

Answer 2

Let's solve each of the expressions step by step:

1. (√50 - √18) × √2 First, simplify the square roots: √50 = √(25 * 2) = 5√2 √18 = √(9 * 2) = 3√2

   Now, substitute the values back into the expression: (5√2 - 3√2) × √2

   Combine like terms inside the parentheses: (5√2 - 3√2) = 2√2

   Now, multiply by √2: 2√2 × √2 = 2 * 2 = 4

2. 25√X × 4√Y / √(XY) Given X = 4 and Y = 8, substitute these values into the expression: 25√4 × 4√8 / √(4 * 8)

   Simplify the square roots: 25 * 2 * 4 * 2 / (2√32)

   Combine the numbers: 200 / (2√32)

   Now, simplify the square root in the denominator: 200 / (2 * 4√2)

   Further simplify by canceling out the common factor of 2: 100 / (4√2)

   Divide 100 by 4: 25 / √2

3. 0.5√0.04 - 7/6√36 * (2√3)² First, calculate the values inside the expressions: 0.5√0.04 = 0.5 * 0.2 = 0.1

   7/6√36 = 7/6 * 6 = 7

   (2√3)² = 2² * (√3)² = 4 * 3 = 12

   Now, substitute these values back into the expression: 0.1 - 7 * 12

   Perform the multiplication: 0.1 - 84

   Subtract: -83.9

4. This appears to be a placeholder, so there's nothing to solve.

5. √(1/121) - √(16/49) Simplify the square roots: √(1/121) = 1/11

   √(16/49) = 4/7

   Now, substitute these values back into the expression: 1/11 - 4/7

   To subtract fractions, find a common denominator, which is 77 in this case: (7/77) - (44/77)

   Subtract: (7 - 44) / 77 = -37/77

6. 2√3 + 2√75 - 2√48 First, simplify the square roots: 2√3 is already simplified.

   √75 = √(25 * 3) = 5√3

   √48 = √(16 * 3) = 4√3

   Now, substitute these values back into the expression: 2√3 + 5√3 - 4√3

   Combine like terms: (2 + 5 - 4)√3 = 3√3

7. √0.8 × √1.8 Calculate the square roots: √0.8 = √(4/5) = 2/√5

   √1.8 = √(9/5) = 3/√5

   Now, multiply: (2/√5) * (3/√5) = (2 * 3) / (√5 * √5) = 6/5

8. √(2^8) × 3^2 Calculate the square root of 2^8: √(2^8) = √(256) = 16

   Now, multiply by 3^2: 16 * (3^2) = 16 * 9 = 144

So, the solutions are:

1. 4
2. 25/√2
3. -83.9
4. -37/77
5. 3√3
6. 6/5
7. 144