square root fractions-multiplication?

Question

Hard time understanding how to do the SqRt with fractions

Sqrt 6 / Sqrt 7 * Sqrt 14 / Sqrt 3

Do I just square them, and use the regular
multiplication fo the fraction, or is thre something else I am
supposed to do?

Answer 1

To get the numerator, multiply the numerators.
To get the denominator, multiply the denominators.
You get

[ sqrt(6)sqrt(14) ] / [ sqrt(7)sqrt(3) ]

Then use sqrt(x)sqrt(y) = sqrt(xy):

sqrt(84) / sqrt(21)

Then use sqrt(x) / sqrt(y) = sqrt(x/y):

sqrt(4)

so you have 2.

Answer 2

Regular fraction multiplication is the way to start:
Sqrt6 / Sqrt 7 * Sqrt 14 / Sqrt 3
=
(Sqrt6 *Sqrt 14) / (Sqrt7 * Sqrt3)

Then 6 = 2*3 and 14 = 2*7; so
(Sqrt(2*3) * Sqrt(2*7))/(Sqrt7 * Sqrt 3)
=
[Here we remember Sqrt(x*y) = Sqrt(x) * Sqrt(y)]
Sqrt2 * Sqrt3 * Sqrt2 * Sqrt7 / (Sqrt7 * Sqrt3)
=
[rearrange order we get:]
Sqrt 2 * Sqrt 2 * Sqrt 3 * Sqrt 7 / (Sqrt 7 * Sqrt 3)
=
[Sqrt2 * Sqrt2 = 2]
2 * Sqrt 3 * Sqrt 7 / (Sqrt 7 * Sqrt 3)
=
2 * (Sqrt 3 * Sqrt 7 / (Sqrt 7 * Sqrt 3))
=
2

Hope this helps ;-)

Answer 3

oblong the only million and the sixty 4. Then, when you consider which you're no longer waiting to have an oblong root on the backside, you multiply your sq. root contained in the direction of the sq. root of sixty 4 over the oblong root of sixty 4. So it would desire to look like: The sq. root of one million over the oblong root of sixty 4 sped up via way of the oblong root of sixty 4 over the sq. root of sixty 4. Plug 'n' chug on your scientific calculator.

Answer 4

you do the square root of 6 divided by square root of 7 (ie. 2.45/2.64) then times by square root 14/square root3 (3.74/1.73) when you multily them it comes out close to 2 : ) hope this helps

Answer 5

here do it the easy way

a square root is also equal to 1/2

for example

square root (x) = (x)^(1/2)

this will make it much easier