Find the value of the question mark (?) in the following expression: {4\sqrt 18} /\sqrt12-{8\sqrt75}/\sqrt32+{9\sqrt2}/\sqrt3=?

SSC CPO SI and ASI Model Paper 10

Question : 131 of 200

Marks: +1, -0

Find the value of the question mark (?) in the following expression:

{4√ 18} /√12-{8√75}/√32+{9√2}/√3=?

Solution:

(4)

?=4√{3/2}-{8√{3×3×5×5}}/√{2×2×2×2×2}

+{3×3√2}/√3

=2×2×√{3/2}-{8(5√3)}/{4√2}

+3√3×√2

=2×√2×√3-{2(5√3)}/√2+3√6

=2√6-5√2×√3+3√6

=5√6-5√6

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