Maths / Cube and Cube Roots / Cube Root by Estimation Method

QUESTION
 

Find the cube root of the following numbers by finding its ones and tens digits: 636056

EXPLANATION
Explain TypeExplanation Content
Text

The ones digit of the number 636056 is 6. Therefore, the digit at the ones place in the cube root of the given number is 6. Now strike out three digits from the right. The number left over is 636.

Now 8^3 = 512 < 636 and 9^3 = 729 > 636.

Hence, the largest digit whose cube is less than 636 is 8.

Thus, its tens digit is 8.

therefore        3sqrt{636056}     = 86

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