Question

Find the cube root of the followingg no by prime factorizatioj me5hod 175616

Answer 1

Answer:

56 is cube root of 175616

Step-by-step explanation:

175,616 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7

$\sqrt[3]{175616} = \sqrt[3]{ {2}^{9} \times {7}^{3} } \\ = {2}^{ \frac{9}{3} } \times {7}^{ \frac{3}{3} } \\ = {2}^{3} \times 7 \\ = 8 \times 7 \\ = 56$

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