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

1 Answer
Sep 15, 2015

Answer:

#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)#