Question

quare root of 63/25

Answer 1

Square*

Answer 2

\[\large \sqrt{\frac{63}{25}}\]

So we can rewrite this as

\[\large \frac{\sqrt{63}}{\sqrt{25}}\]

right?

now, what is the square root of 25?

Answer 3

5

Answer 4

Right...so lets write this as

\[\large \frac{\sqrt{63}}{5}\]

good so far?

Answer 5

yes

Answer 6

whats next?

Answer 7

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?

Answer 8

1,3,7,9,21,63

Answer 9

And now which of those numbers is a perfect square?

Answer 10

1and 9 is that it?

Answer 11

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

\[\large \frac{3\sqrt{7}}{5}\]

Answer 12

i see

Answer 13

Thank you!