simplify the expressions.

1. sqrt(40/169)

2. sqrt(18/13)

3. sqrt(45/32)

4 answers

first factor numerators and denominatios
40 = 2*2*2*5
so
sqrt 40 = 2 sqrt 10

169 = 13 * 13
so
sqrt 169 = 13
so we have
(2/13) sqrt 10
what about the other ones?
i don't understand these at all.
There is no point in my just doing them all for you. Please study the one I did.
for each of them factor and look for squares
like 18 = 2*9 = 2 * 3 * 3
therefore sqrt 18 = 3 sqrt 2
there is nothing you could do with sqrt 13 or sqrt 3 or sqrt 7 or sqrt 11 for example because those are already prime numbers and do not contain smaller factors except 1. However where there are factors, find them and see if any are repeated.
okay thank you. :)
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