Question

Can someone please help Simple the square root 24+ square root 25

Answer 1

Answer:
`5 + 2√(6)`

===========================================

Work Shown:

`√(24)+√(25)\\\\√(25)+√(24)\\\\√(25)+√(4*6)\\\\√(25)+√(4)*√(6) \ \ \text{see note 1}\\\\√(5^2)+√(2^2)*√(6)\\\\5+2√(6) \ \ \text{see note 2}\\\\`

----------

• Note 1: I used the rule sqrt(x*y) = sqrt(x)*sqrt(y)
• Note 2: The rule sqrt(x^2) = x was used, where x is nonnegative

Answer 2

5+(2)*(sq root 6)

Explanation:

This is pretty simple, a given is that the square root of 25 is 5, so you already have one of your numbers. Since the square root of 24 is not a perfect square, it must be reduced and then added separately to 5. The sq root of 24 is reduced to 2 multiplied by the square root of 6.