Question

Find the cube root of 35937 by using Without finding prime factors. proper solution steps likne hai is question me​

Answer 1

Answer:

1 .Take the number which is given .

2 . Slove it in factors.

3. Make the factors 3 that each number of group is same.

$\sqrt[3]{3593} = \sqrt[3]{3 \times 3 \times 3 \times 11 \times 11 \times 11}$

$\sqrt[3]{35937} = \sqrt[3]{3 \times 3 \times 3} \times \sqrt[3]{11 \times 11 \times 11}$

$\sqrt[3]{35937} = 3 \times 11 = 33$

Hence, the cube root of 35937 is 33.

Note : I have also find the cube root in my notebook with same method. You can see

☆Extra Information ☆

What is a cube root?

a cube root of a number x is a number y such that y³ = x. 

Cube root is always multiply in 3 and Square root in 3.

For Example :

• Cube root of 2³ = 2×2×2= 12.
• Cube root of 3³ = 3×3×3= 27.
• cube root of 4³= 4×4×4= 64.

In this method we can find cube root of any number which we have to find.