ahhh, so 4√22/4√2*4√12/3√18
is really
(4√22)/(4√2)*(4√12)/(3√18)
this same question was posted twice yesterday, and even after requests for clarification, confusion remained because of a lack of brackets.
so now we have
(4√22)/(4√2)*(4√12)/(3√18)
= (√11) * (8√3)/(9√2)
= 8√33/(9√2)
rationalizing by multiplying top and bottom by √2
= 8√66/18
= 4√66/9
(evaluating the original on a calculator and evaluating the final result yields the same decimal answer.)
or without having to rationalize I could have done this:
= √22/√2 * 8√3/(9√2)
= 8√66/18
= 4√66/9
4√22/4√2*4√12/3√18
This reads: 4 square root 22 over 4 square root 2 multiply by 4 square root 12 over 3 square root 18
1 answer