Beginners Series.. Surd..

Simplify

\left({\sqrt{75}-\sqrt{12}}\right)^{-2/3}

3 Answers

1
ishika ·

( √75 - √12 )^-2/3

=( 5√3 - 2√3 )^-2/3

=(√3(3))^-2/3

=3^1/2*-2/3 *3^-2/3

=3^(-1/3) + (-2/3)

=3^-1

=0.3333.....

hope d ans is correct

21
Shubhodip ·

yes correct , according to my sleepy eyes [13]

36
rahul ·

yup but this was too easy i guess........ :p

simply
(3√3)-2/3 = (3)^(3/2 * -2/3) = 1/3

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