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. B​oth statement 1 and 2 is false

Answer :

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

0.64×100100  = 64100 
Now we form perfect square and eliminate square root , As  :

 64100  =   82102  = 810   = 0.8    

So ,

0.64   =   0. 8 

And 

Statement 2 , is also true , As :

We know 202  =  400
And
302 =  900

So ,

202  <  ( 26.1 )2  <  302  , 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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Sorry , Statement D: Both statement 1 and 2 are true.
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