Question

Cube root of 21952 with method

Answer 1

Hope it helps you.
With regards@
Tanisha

Answer 2

Answer:

Cube root of 21952 is 28

Explanation:

Resolve given number 21952

into product of prime .

2 | 21952

____________

2 | 10976

____________

2 | 5488

____________

2 | 2744

____________

2 | 1372

____________

2 | 686

____________

7 | 343

____________

7 | 49

____________

****7

Now,

21952 = 2×2×2×2×2×2×7×7×7

= $2^{6}\times7^{3}$

$\sqrt[3]{21952}$

=$\sqrt[3]{2^{6}\times 7^{3}}$

= $\left(2^{6}\times7^{3}\right)^{3}$

= $2^{\frac{6}{3}}\times 7^{\frac{3}{3}}$

= $2^{2}\times 7^{1}$

= $4 \times 7$

= $28$

Therefore,

cube root of 21952 = 28

••••

____________