need help plz?
\[4\sqrt{6}/\sqrt(30\]
i have to rationalize the denominator
@dtan5457
someone plz help me figure this out
@aprilbarrios455
you might want to multiply by something then ... as per the basic lesson material
huh?
your lesson plan covers how to rationalise ... what process does it lay out for you?
i have to rationalize the denominator
and from your lesson material, how would you suggest we go about that?
Multiply Both Top and Bottom by a Root. Sometimes we can just multiply both top and bottom by a root: ... Multiply Both Top and Bottom by the Conjugate. There is another special way to move a square root from the bottom of a fraction to the top ... we multiply both top and bottom by the conjugate of the denominator. Rationalize the Denom
first one should be appropriate
sqrt(30) * sqrt(30) = 30 so i would suggest multiplying top and bottom by sqrt(30) and simplify
so i would do 4 x sqr(30) and sqrt(6) x sqrt(30)
in general .. \[\frac{a\sqrt b}{\sqrt c}\] \[\frac{a\sqrt b}{\sqrt c}*\frac{\sqrt c}{\sqrt c}\] \[\frac{a\sqrt b\sqrt c}{c}\] \[\frac{a\sqrt {bc}}{c}\]
ok everything multiply by sqrt 30
yes, but recall that (xy)*z is NOT the same as (xz) * (yz)
ok so i got 24sqrt(5)
and 30
let me dbl chk that 4 sqrt(6) sqrt(30) --------------- 30 4 sqrt(180) ----------- 30 2 sqrt(180) ----------- 15 2 sqrt(9*4*5) ----------- 15 2*3*2 sqrt(5) ----------- 15 4 sqrt(5) --------- 5
or simply 4 sqrt(6) ------- sqrt(30) 4 sqrt(6) ------- sqrt(6*5) 4 sqrt(6) ----------- sqrt(6) sqrt(5) 4 ------- sqrt(5) 4 sqrt(5) --------- 5
so the answer is 4sqrt 5 ----------------------------- over 5
@amistre64
@10115658
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