Question

find the value of 5.1²​

Answer 1

25.1 is the answer



…

Answer 2

Given:

(5.1)²

To find:

The value of 5.1²

Solution:

First of all, we should know about one of the algebraic identities which is

${(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy \: \: \: (i)$

Now, as given, we have

${(5.1)}^{2}$

This can be written as the sum of 5 and 0.1,

So,

${(5 + 0.1)}^{2}$

From the (i) algebraic identity,

we get

${(5 + 0.1)}^{2} =$

${(5)}^{2} + {(0.1)}^{2} + 2(5)(0.1)$

$= 25 + 0.01 + 1$

After adding all terms, we get

$= 26.01$

Hence, the value of 5.1² is 26.01.