Find the value of the given expression: \sqrt{\frac{(3 1/4)^4-(4 1/3)^4}{(3 1/4)^2-(4 1/3)^2}} = ?

Symbiosis National Aptitude Test SNAP 2019 Paper

Question : 35 of 110

Marks: +1, -0

Find the value of the given expression:

√{{(3 1/4)^4-(4 1/3)^4}/{(3 1/4)^2-(4 1/3)^2}}

= ?

Solution:

√{{(3 1/4)^4-(3 1/3)^4}/{(3 1/4)-(4 1/3)^2}}

√{{\{(3 1/4)^4+(4 1/3)^2\}\{(3 1/4)^2-(4 1/3)^2\}}/{(3 1/4)^2-(4 1/3)^2}}

√{(3 1/4)^2+(4 1/3)^2}

√{({12}/2)^2+({13}/2)^2}

13√{(1/4)^2+(1/3)^2}

13√{{(3)^2+(4)^2}/{(3)^2(4)^2}}

13×5/{12}

{65}/{12}

5 5/{12}

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