Find the cube root of (–13824) . or Find the value of \sqrt^3{–13824} .

SSC CGL Tier II 1 Dec 2016 Paper 1

Question : 7 of 100

Marks: +1, -0

Find the cube root of (–13824) . or Find the value of

√^3{–13824}

Solution:

(4)

∴ 13824=2^{3} × 2^{3} × 2^{3}×3^{3}

∴√^3 {-13824}

=√^3{(-1)^{3} 2^{3} × 2^{3}×2^{3}× 3^{3}}

=(-1) 2 × 2 × 2 × 3=-24

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