Question

How do you simplify (7 square roots of 5) + (the square root of 50)?

Answer 1

`7sqrt 5+sqrt 50=7sqrt 5+5sqrt 2`

Explanation:

`7sqrt 5+sqrt 50`

Determine the prime factors for `50`.

`7sqrt 5+sqrt(2xx5xx5)=`

`7sqrt 5+sqrt (2xx5^2)`

Apply the square root rule `sqrt(a^2)=a`.

`7sqrt 5+5sqrt 2`