Question

(iii) Cube of cube root of 3
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Answer 1

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Cube of cube root of 3

Cube root of 3=3√3=1.44

Cube of 1.44=1.44³=3

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Answer 2

ᴀɴsᴡᴇʀ :-

The actual value of 3√3 is 1.442249.

• sᴛᴇᴘ ʙʏ sᴛᴇᴘ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ :-

Steps to find Cube Root Easily

Now, let us figure out the value of 3√3, step by step.

Let us assume the cube root of 3 is equal to x.

Then, x = 3√3

• As we know,

13 = 1 and 23 = 8

Hence, x lies between 1 and 8. But, it lies closer to number 1 than 8, if we see in a number line. Hence, we can assume a value, say 1.4, which could be approx to the cube root of 3.

• Now to determine the value of 3√3, we need to divide 3 by the estimated value.

Divide 3 by 1.4.

3/1.4 = 2.1428

• Again, divide this value by 1.4.

2.1428/1.4 = 1.53

• Now, take the average of 1.4, 1.4 and 1.53 to get a value of 3√3.

(1.4+1.4+1.53)/3 = 1.44

The actual value of 3√3 is 1.442249.

Hence, 1.44 is approximately equal to 1.442249.