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how do i multiply this...?
I need help! How do I multpily this...
√3 x √5
or simplify this by factoring?!
√x^7
5 Answers
- Jacob FLv 51 decade agoFavorite Answer
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!
- Anonymous1 decade ago
just multiply 3 and 5 and then put the result 15 under the square root.
i.e.â3 x â5=â15
Good luck!
- PuzzlingLv 71 decade ago
If you have âa x âb, it is the same as âab
So in your first problem, you have â15
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 âx
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.
- hot sexy lipsLv 51 decade ago
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 !!
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