Question

Cube root of 592704 by estimation method

Answer 1

Answer:

84

Step-by-step explanation:

unit place has digit 4 , so the root's unit digit will also be 4

now exclude the last three digits of the number

therefore, 592 comes between

512 <592<729

${8}^{3} < 592 < {9}^{3}$

592 us nearest to

${8}^{3}$

hence

$\sqrt[3]{592704} = 84$

Answer 2

On prime factorising, we get,

592704=2×2×2×2×2×2×3×3×3×7×7×7

=2

3

×2

3

×3

3

×7

3

=84

3

.

Then, cube root of 592704 is:

3

592704

=

3

84

3

=84.