Simple square root question

GMAT? · Posted: Sat Dec 23, 2006 1:29 pm Post subject: Simple square root question

I would be grateful for your advice.

Consider the sqaure root of 3. Why is its reciprocal the square root of 3 / 3.

Thanks

aim-wsc · Posted: Sat Dec 23, 2006 8:02 pm Post subject:

lets use brackets Very Happy

( )
that will be easier

(sq rt of 3) is actually the number which when we multiply by itself gives us the value 3
that means
(sq rt of 3) X (sq rt of 3) = 3

therefore
(sq rt of 3) = 3 / (sq rt of 3)
take reciprocal:

1/ (sq rt of 3) = (sq rt of 3) / 3

i have shown it mathematically.
i hope you dont want theoretical explanation Wink