Question

What is the simplified form of 3 StartRoot 135 EndRoot?

StartRoot 15 EndRoot
3 StartRoot 5 (3) EndRoot = 3 StartRoot 15 EndRoot
(3 + 3) StartRoot 5 (3) EndRoot = 6 StartRoot 15 EndRoot
3 (3) StartRoot 5 (3) EndRoot = 9 StartRoot 15 EndRoot

Answer 1

I hope this will be helpful

Answer 2

Simplified form of  3√135 =  3 x 3√(5 x 3)  = 9√15

Given:

• 3√135

To Find:

• Simplified form

Solution

"Prime Factorization is finding prime numbers/factors which when multiplied together results in the original number"

Prime number is a natural number which has only two factors one and number itself.  (e.g. , 2 , 3 , 5 , 7 .... )

Step 1:

Prime factorize 135

135 = 3 x 3 x 3 x 5

Step 2:

Simplify

3√135 =  3√(3 x 3 x 3 x 5)

3√135 =  3√(3² x 5 x 3)

3√135 =  3 x 3√(5 x 3)

3√135 =  9√15

3√135 =  3 x 3√(5 x 3)  = 9√15