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Mathematics 16 Online
OpenStudy (anonymous):

PLEASE HELP WITH RATIONALIZING DENOMINATORS

OpenStudy (anonymous):

example?

OpenStudy (anonymous):

\[D= SQRT* 3(1450) OVER 2\]

OpenStudy (anonymous):

It's a word problem. it is a principle of radical that is over the 3h and 2 fraction. h=1450

OpenStudy (anonymous):

\[\sqrt[3]{\frac{1450}{2}}\]

OpenStudy (anonymous):

no

OpenStudy (anonymous):

is it a square root or a cube root?

OpenStudy (anonymous):

d=sqrt* 3H over 2

OpenStudy (anonymous):

square root--the one that is longer and then splits into two smaller ones as the next step.

OpenStudy (anonymous):

3h and 2 is a fraction. sqrt goes over the both of them--just one. I get that you then break it down by placing two radicals over each den and num. lost on the next step

OpenStudy (anonymous):

\[\sqrt{\frac{3\times 1450}{2}}\]

OpenStudy (anonymous):

correct

OpenStudy (anonymous):

that one?

OpenStudy (anonymous):

and am trying to find D

OpenStudy (anonymous):

divide first, then take the square root

OpenStudy (anonymous):

so take the den of 2 and place it under D?

OpenStudy (anonymous):

before plugging in H=1450?

OpenStudy (anonymous):

yes you can divide first. you have \[\frac{3\times 1450}{2}=2175\]

OpenStudy (anonymous):

mhm

OpenStudy (anonymous):

would I have to square both sets of numbers?

OpenStudy (anonymous):

then take the square root. \[\frac{\sqrt{a}}{\sqrt{b}}=\sqrt{\frac{a}{b}}\]

OpenStudy (anonymous):

or both sides of the equal sign??

OpenStudy (anonymous):

if you are just trying to compute the square root of that number, no. just use a calculator

OpenStudy (anonymous):

okay- go one

OpenStudy (anonymous):

go on

OpenStudy (anonymous):

rationalizing denominators means something else. for example \[\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2}\]

OpenStudy (anonymous):

but if you just want a number you can compute inside the radical and then take the square root

OpenStudy (anonymous):

what did you get for the answer?

OpenStudy (anonymous):

46.64 rounded. in radical form i got \[5\sqrt{87}\]

OpenStudy (anonymous):

that is not the answer.

OpenStudy (anonymous):

it is 47, but thanks any way. haha

OpenStudy (anonymous):

ok fine lol

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