Question

SIMPLIFY
50 POINTS TO CORRECT ANSWER!
5√32

Answer 1

20√2

Explanation:

Rewriting the term "5√32"

⇒ 5√32

⇒ 5 × [√32]

Factorizing 32 in the square root

⇒ 5 × [√32]

⇒ 5 × [√2 × 2 × 2 × 2 × 2]

Pulling out even numbers of "2" out of the root

⇒ 5 × [1 × √(2 × 2) × (2 × 2) × 2]

⇒ 5 × [2 × 2 × √2]

⇒ 5 × [4 × √2]

Pulling out "4" out of the brackets and simplifying

⇒ 5 × 4 × [√2]

⇒ 20 × [√2]

⇒ 20[√2]

⇒ 20√2

Answer 2

First you need to factor 32, and find the largest square number that goes into it (in this case 16) after that just separate it from the rest of the equation.
5*sqrt(16*2)
=5*4*sqrt(2)
20*sqrt(2)
It's a little difficult to understand, so let me know if I need to clarify anything