(.000216)1/3 = \(\left(\frac{216}{10^{6}}\right)^{\frac{1}{3}}\)
= \(\left(\frac{6\times6\times6}{10^{2}\times10^{2}\times10^{2}}\right)^{\frac{1}{3}}\)
=\(\frac{6}{10^{2}}\)
= \(\frac{6}{100}\)
=0.06
\(Let\frac{x}{128} = \frac{162}{x}\)
Then x2 = 128 x 162
= 64 x 2 x 18 x 9
= 82 x 62 x 32
= 8 x 6 x 3
= 144.
Therefore x = 144 = 12.
L.C.M. of 21, 36, 66 = 2772.
Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11
To make it a perfect square, it must be multiplied by 7 x 11.
So, required number = 22 x 32 x 72 x 112 = 213444
Therefore \(\sqrt{1.5625} = 1.25\)
