Question

А)√9y-√25y+2√4y б)√27-√48+√75 в)(2+√3)(1-√3) г)(√3+√6)^2 Пожалуйста.Спасибо Умоляю срочно нужно

Answer 1

А) 3√у-5√у+4√у= 2√у
б) √9*3-√16*3+√25*3=3√3-4√3+5√3=4√3

Answer 2

Solution:

a) To simplify the expression √9y - √25y + 2√4y, we can apply the properties of square roots.

- The square root of a number multiplied by another number is equal to the square root of the first number multiplied by the square root of the second number. - The square root of a perfect square is equal to the number itself.

Using these properties, we can simplify the expression as follows:

√9y - √25y + 2√4y = 3√y - 5√y + 2(2√y) = (3 - 5 + 4)√y = 2√y.

b) To simplify the expression √27 - √48 + √75, we can again apply the properties of square roots.

Using the property that the square root of a perfect square is equal to the number itself, we can simplify the expression as follows:

√27 - √48 + √75 = 3√3 - 4√3 + 5√3 = (3 - 4 + 5)√3 = 4√3.

c) To simplify the expression (2 + √3)(1 - √3), we can use the distributive property of multiplication over addition.

Expanding the expression, we get:

(2 + √3)(1 - √3) = 2(1) + 2(-√3) + √3(1) + √3(-√3) = 2 - 2√3 + √3 - 3 = -1 - √3.

d) To simplify the expression (√3 + √6)^2, we can use the distributive property of multiplication over addition and the property that the square of a sum is equal to the square of the first term plus twice the product of the two terms plus the square of the second term.

Expanding the expression, we get:

(√3 + √6)^2 = (√3 + √6)(√3 + √6) = √3(√3) + √3(√6) + √6(√3) + √6(√6) = 3 + √18 + √18 + 6 = 9 + 2√18 + 6 = 15 + 2√18.

Therefore, the simplified expression is 15 + 2√18.

I hope this helps! Let me know if you have any further questions.