Question

I have never understood these. Help.

Answer 1

5√(5)

Explanation:

Notice that 125 is 25×5

If you couldn't do it use the prime factorization.

Prime numbers are 2,3,5.....

125 isn't divisible by 2 and 3 so we'll go with 5.

● 125 ÷ 5 = 25

Againg 25 is divisible by 5

● 25÷5 = 5

5 is divisible by 5

● 5÷5=1

So 125= 5×5×5 = 5^2 × 5

● √(125)= √(5^2×5) = 5√(5)

Answer 2

5 sqrt(5)

Explanation:

sqrt(125)

sqrt( 25*5)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(25) sqrt(5)

5 sqrt(5)