Question

What is the exact value of square root 75/21? Simplify if possible.

Answer 1

is it
\[\frac{\sqrt{75}}{21} ... or..\sqrt{\frac{75}{21}}\]

Answer 2

That is not one of my answer choices. I listed them up there in the image

Answer 3

I'm asking about the question

Answer 4

Oh, sorry. It's the second one.

Answer 5

\[\sqrt{\frac{25 \times 3}{7\times3}}\]

eliminate the common factor of 3 and it leaves

\[\frac{\sqrt{25}}{\sqrt{7}}\]

the numerator can be simplified

\[\frac{5}{\sqrt{7}}\]

rationalising the denominator

\[\frac{5}{\sqrt{7}} \times \frac{\sqrt{7}}{\sqrt{7}} = \frac{5\sqrt{7}}{7}\]

Answer 6

Thanks SO much, you're a lifesaver ((: