Question

Find the cube root of the following numbers through estimation 10648

Answer 1

AnSwer:

Let us consider this number of two groups starting from the unit digit.

So, these 2 groups are as :

• 648 is the 1st group.
• 10 is the 2nd group.

★According to the 2 groups, let us find the unit digit of 1st group.

So,

$\sf \implies \: 648 \: is \: 8= {2}^{3}$

Here 8 is at unit digit place and so 8 can be written as 2³ and hence unit digit of our required number is 2.

★Similarly, let us consider the 2nd group for the tens place digit,

As we know here,

$\sf \implies \: 8>10>2 \: also \: written \: as \: {2}^{3} >10> {3}^{3}$

★Now ,let us choose the smaller number that is 2 as our tens place digit.

So,

$\therefore\sqrt[3]{10648} =22$

Hence verified.