Question

Rationalize the Denominator sqrt(14/3)

Answer 1

Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

Answer 2

Oh and an explination would be nice.

Answer 3

\[\sqrt{\frac{14}{3}}\] this expression?

Answer 4

yes

Answer 5

the radical splits to this:\[\frac{\sqrt{14}}{\sqrt{3}}\]

Answer 6

I understood that far.. Didn't know where to go from there.

Answer 7

then to get rid of the \(\sqrt{(..)}\) in th bottom; we multiply top and bottom by it

Answer 8

\[\frac{\sqrt{14}}{\sqrt{3}}*\frac{\sqrt{3}}{\sqrt{3}}=\frac{\sqrt{14*3}}{3}\]

Answer 9

Thanks man. That makes sense now.

Answer 10

\[\sqrt{14*3}=\sqrt{42}\] whih may or maynot simplify more :)

Answer 11

sqrt(42) is simplest

Answer 12

lol

Answer 13

\[\sqrt{42}\] is the simplest because 42 is a multiplication of 2 prime number :14 and 3. Amistre provided clear steps. :)

Answer 14

14 is not a prime no as it can be split as 2x7 !!!!!

Answer 15

@amistre

after rationalising where has the 3 from the denominator vanished????

Answer 16

final answer shud b root42
-------
3