Question

Find the cube root of 17576 through estimation.​

Answer 1

Step-by-step explanation:

Find the cube root of 17576 through estimation.

Answer 2

$\huge\underline\mathrm{SOLUTION:-}$

The given number is 17576.

Step 1: Form groups of three digits starting from the rightmost digit.

• Here, one group has three digits i.e., 576 whereas the other group has only two digits i.e.,17.

Step 2: Take 576.

• The digit 6 is at its one’s place.
• We will take here the one’s place of the required cube root as 6.

Step 3: Take the other group, i.e., 17.

• Cube of number 2 is 8 and cube of number 3 is 27.
• 17 lies between 8 and 27.
• The smaller number between 2 and 3 is 2.
• The one’s place of 2 is 2 itself.
• Now, take digit 2 as ten’s place of the required cube root.

Hence, the cube root of 17576 is;

3√17576 = 26

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