What is the square root of (5) multiplied by (7+ square root of 10)?

1 Answer
Sep 15, 2015

7sqrt5 + 5sqrt2

Explanation:

It is sqrt5 xx (7+sqrt10)

Multiply them

sqrt(5) xx 7 + sqrt(5) xx sqrt(10) = 7sqrt(5) + sqrt(50)

You know that sqrt50 can be simplified as

sqrt(50) = sqrt(25 * 2) = sqrt(5^2 * 2) = 5 * sqrt(2)

The answer will thus be

sqrt(5) * (7 + sqrt(10)) = 7sqrt(5) + 5sqrt(2)