Find the square root of \frac{(0.064-0.008)(0.16-0.04)}{(0.16+0.08+0.04)(0.4+0.2)^3}

SSC CGL 9 Aug 2015 Shift 2 Paper

Question : 140 of 200

Marks: +1, -0

Find the square root of

{(0.064-0.008)(0.16-0.04)}/{(0.16+0.08+0.04)(0.4+0.2)^3}

Solution:

Expression =

{(0.064-0.008)(0.16-0.04)}/{(0.16+0.08+0.04)(0.4+0.2)^3}

{(0.4-0.2)(.16+0.08+0.04)(0.4+0.2)(0.4-0.2)}/{(0.16+0.08+0.04)(0.4+0.2)^2}

(0.4+0.2)^2/(0.4+0.2)^2

(0.2)^2/(0.6)^2

∴ Required square root
=

{0.2}/{0.6}

1/3

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