Question

3. You are told that 1,331 is a perfect cube. Can you guess without factorisation what
is its cube root? Similarly, guess the cube roots of 4913, 12167,32768.

Help me with this question guys​

Answer 1

Answer:

1331 is the cube root of 11

4913 is the cube root of 17

12167 is the cube root of 67

32768 is the cube root of 32

Step-by-step explanation:

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Answer 2

$\huge \boxed{solution}$

We have 1331,

Divide numbers in two parts: First part is 2 and second part is 331.

Since, the given number ending with 1. So, the last digit of the cube root will be 1.

In the first part we have 1.

So,

1³= 1

By estimation the cube root of 1331 is 11.

Same for the other parts.

4913= Divide numbers in two parts: First part is 4 and second part is 913.

Since, the no. is ending with 3. So, the unit place of the cube root is 7.

In the first part the nearest cube root is 1.

So, the cube root of 4913 is 17.

12167= Divide the numbers in two equal parts: First part is 12 and second part is 167.

The no. is ending with 7. So, the unit place of the cube root is 3.

In the first part the nearest cube root is 2.

So, the cube root of 12167 is 23.

32768= Divide the numbers in two equal parts: First part is 32 and second part is 768.

The no. is ending with 8. So, the unit place of the cube root is 2.

In the first part the nearest cube root is 3.

So, the cube root of 32768 is 52.

Hope it's help you dear!