how do i multiply this...?

Question

I need help! How do I multpily this...

√3 x √5

or simplify this by factoring?!

√x^7

Answer 1

To multiply Square Roots, simply multiply the numbers, but keep the square root:

Here is the theorem: √a • √b = √ab

So, √3 • √5 = √15.

The same is true for the opposite:

√xˆ7 = √xˆ2 • √xˆ2 • √xˆ2 • √x

When we find √xˆ2, we get x. Since √x can't be simplified, we leave it as is. Thus,

√xˆ2 • √xˆ2 • √xˆ2 • √x = x • x • x • √x ==> xˆ3√x

Hope I helped!

Answer 2

just multiply 3 and 5 and then put the result 15 under the square root.

i.e.√3 x √5=√15

Good luck!

Answer 3

If you have √a x √b, it is the same as √ab

So in your first problem, you have √15

For the second problem, imagine it was:
sqrt( x² * x² * x² * x )

This can be changed to:
sqrt(x²) * sqrt(x²) * sqrt(x²) * sqrt(x)

This becomes:
x * x * x * sqrt(x)

Or more simply:
x^3 √x

Note: you could have taken a shortcut by factoring x^7 as x^3 * x^3 * x. Then you'd get sqrt(x^3 * x^3) * sqrt(x) = x^3 sqrt(x). Same answer, either way.

Answer 4

3 x 5 = 15, simple.. this is your answer !!
seems you are not taking your study quite serious.
just go back to work before mom spank you !!

Answer 5

sqrt15

x^3sqrtx