Question

Enter the correct answer in the box. What is this expression in simplified form?
3\sqrt{88}

Answer 1

Answer:
`12√(5)`

Explanation:

`3√(88)`

88 can be rewritten as 8 x 10 and 8 can be rewritten as
`2^2*2` making a 2 come out of the root.

`3√(2^2*2*10)\\ 3*2√(2*10)\\6√(2*10)`

10 can be rewritten as 2 x 5.

`6√(2*2*5)`

2*2 can also be rewritten as
`2^2` making a 2 come out of the root.

`6√(2^2*5)\\ 6*2√(5)\\ 12√(5)`

We can't keep simplifying the root.