ABC26GN1477 · Square Roots and Cube Roots

Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: 2014 · Marks: · Difficulty:

Solve $\sqrt[4]{(625)^{3}}=$ ?

(a)$\sqrt[3]{1875}$

(b)25

(c)125

(d)None of these

Answer

Answer (as printed): C

Explanation

Given $?=\sqrt[4]{(625)^{3}}$ $$\begin{aligned} & =(625)^{\frac{3}{4}}=(5 \times 5 \times 5 \times 5)^{\frac{3}{4}} \\ & =\left(5^{4}\right)^{\frac{3}{4}}=5^{3}=125 \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

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