Question

find the cube root of 175616 through estimation

Answer 1

175616=2^3×2^3×2^3×7^3=56

Answer 2

Answer:

$\sqrt[3]{175616}=56$

Step-by-step explanation:

Given : Number 175616.

To find : The cube root of the number ?

Solution :

We can find cube root through factorizing,

Factorize 175616,

$175616=2\times 2\times 2\times2\times 2 \times 2\times2\times2\times 2 \times 7\times 7 \times7$

As we need cube root so we make three pairs of number,

$175616=2^3\times2^3\times2^3\times 7^3$

$175616=(2\times2\times2\times 7)^3$

$175616=(56)^3$

Taking cube root both side,

$\sqrt[3]{175616}=\sqrt[3]{56}$

$\sqrt[3]{175616}=56$

Therefore, $\sqrt[3]{175616}=56$