## Bananas1234 one year ago quare root of 63/25

1. Bananas1234

Square*

2. johnweldon1993

$\large \sqrt{\frac{63}{25}}$ So we can rewrite this as $\large \frac{\sqrt{63}}{\sqrt{25}}$ right? now, what is the square root of 25?

3. Bananas1234

5

4. johnweldon1993

Right...so lets write this as $\large \frac{\sqrt{63}}{5}$ good so far?

5. Bananas1234

yes

6. Bananas1234

whats next?

7. johnweldon1993

Now...we know that we cant simply say 63 is the square of some number...so we need to think of something else we can do Hint* what are the factors of 63?

8. Bananas1234

1,3,7,9,21,63

9. johnweldon1993

And now which of those numbers is a perfect square?

10. Bananas1234

1and 9 is that it?

11. johnweldon1993

Not quite...now that we know 9 is a perfect square...what times 9 = 63...well 7 right? So we can write 63 as 9 times 7 right? $\large \frac{\sqrt{63}}{5} = \frac{\sqrt{9\times 7}}{5}$ And since we know the square root of 9 = 3...we have $\large \frac{3\sqrt{7}}{5}$

12. Bananas1234

i see

13. Bananas1234

Thank you!