Question

Explain how you would find the exact value of 3 over the square root of 8..

Answer 1

you need to multiply by sqrt8 on top and bottom

Answer 2

you have

3 sqrt8
----- x -------
sqrt8 sqrt8

Answer 3

ok so far so good

Answer 4

then you have

3sqrt8
------
8 (because sqrt8 x sqrt8 = 8)

Answer 5

now you can simplify the 3sqrt8 by 3 sqrt 4.2, where 4 is a perfect square

Answer 6

so you have

3.2sqrt2 6sqrt2
-------- = ---------
8 8

Answer 7

now you can simplify the 6 and the 8 what is the answer

Answer 8

but \[\frac{3}{\sqrt{8}} \] is an exact value...so all you will be doing by rationalising the denominator is rewriting it

Answer 9

so you have 3sqrt2/4

Answer 10

Thank you! :)

Answer 11

yw :)

Answer 12

campbell actually there is not an exact value, because sqrt 8 those not have an exact value

Answer 13

well actually it is an exact value, the answer you've given is expressing the exact value with a rational denominator...

that have the same value and are both exact