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Study the statements and choose the correct answer.

Statement 1 : the square root of certain decimals are obtained by first changing the decimals into fractions with perfect square as their numerators and denominators.

Statement 2 ; (26.1)^{2} liesbetween 400 and 900.

A. Statement 1 is true and 2 is false

B.Statement 1 is false and 2 is true

C. Both statement 1 and 2 is false

D. Both statement 1 and 2 is false

given statement 1 , is true , As we have $\sqrt{0.64}$ , So find its value first we convert it in fraction , As :

$\sqrt{0.64\times \frac{100}{100}}=\sqrt{\frac{64}{100}}$

Now we form perfect square and eliminate square root , As :

$\sqrt{\frac{64}{100}}=\sqrt{\frac{{8}^{2}}{{10}^{2}}}=\frac{8}{10}=0.8$

So ,

$\sqrt{0.64}$ = 0. 8

And

Statement 2 , is also true , As :

We know 20

^{2}= 400

And

30

^{2}= 900

So ,

20

^{2}< ( 26.1 )

^{2}< 30

^{2}, then

400 < ( 26.1 )

^{2}< 900

So ,

We can say that ( 26.1 )

^{2}is lies between 400 and 900 .

So ,

Both statement are true , So

**Option ( D ) ( Ans )**

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