Question

Simplify this expression ( 2-5 square root 6) x 3 square root of 2

Answer 1

6Г2-30Г3 D

Explanation:

Answer 2

Answer:
`6√(2)-30√(3)`

Explanation:

Remember that:

`(√(a))(√(b))=√(ab)`

`\sqrt[n]{a^n}=a`

Given the following expression:

`(2-5√(6))(3√(2))`

The steps to simplify this expression, are:

1. Apply the Distributive property:

`=(2)(3√(2))-(5√(6))(3√(2))=6√(2)-15√(12)`

2.Since:

`12=2*2*3=2^2*3`

You can rewrite the radicand 12 in this form:

`=6√(2)-15√(2^2*3)`

3. Simplifying, you get:

`=6√(2)-(15)(2)√(3)=6√(2)-30√(3)`

4. Notice that the indices of the Radicals are the same, but the radicands don't, then, you can subtract the Radicals.