Question

Find the sum of cube root of 658503 and square of 427

Answer 1

Given:

Find the sum of cube root of 658503 and square of 427

Step-by-Step Solution:

Finding the cube root of 658503:

3   | 658503

3   | 219501

3   | 73167

29 | 24389

29 | 841

29 | 29

       1

658503 = 3 x 3 x 3 x 29 x 29 29

658503 = 3 x 29

658503 = 87

So, The cube root of 658503 = 87

Finding the square of 427:

427 x 427= 182329  

So, The square of 427 is 182329

Finding the sum of 87 and 182329:

87 + 182329 = 182416

Hence, the sum of the cube root of 658503 and square of 427 is 182416

Answer 2

Given Data:

• Given Data:Sum of cube root=658503

• Given Data:Sum of cube root=658503Square=427.

We need to find the sum of both.

Step 1:

• First we will find all factors under the cube root: 658503 has the cube factor of 7569.

Step 2:

Let's check this width ∛7569*1=∛658503.

Step 3:

Simplify and take out the cube root ∛7569 * ∛1

Cube of ∛7569=87 = 87∛1

Step 4:

All radicals are now simplified. As no longer has any cube factors.

Lets find the square of 427.

Step 1:

The square of number is nothing but we need to multiply with the same number two times.

Step 2:

427 x 427= 182329

The square of 427 is 182329

Therefore ∛182329 +( 427 ) ^2

= 87 + 182329 =182416