How do you multiply 2x66x4?

3 Answers

It is

2x66x4=12x10=23|x|5

Mar 13, 2018

2x66x4=3.464x5

Explanation:

There are 2 basic approaches available.

1st Approach
Do the square roots first.
2x66x4=(1.414x3)(2.449x2)

2x66x4=3.464x3+2=3.464x5

2nd Approach
Combine the 2 radicals first.
2x66x4=26x6+4

2x66x4=12x10=3.464x5

I hope this helps,
Steve

Mar 13, 2018

With any problem involving the multiplication of two square roots you can use the property x×y=xy

Explanation:

Since a square root is equivalent to x12 we can use the exponential laws for square roots.
axbx=(ab)x --> x×y=xy

2x6×6x4=2x6×6x4=12x10

12x10 can be simplified to x5×12 since x10=x5

You could also break out a 2 by dividing the inside by 4 (since 4=2) giving you 2x53