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Q.

Rationalize the denominator and simplify: 1 9 − 8     


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a

1 2 (3−2 2 )  

b

1 3+2 2  

c

3−2 2  

d

3+2 2   

answer is D.

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Detailed Solution

It is given that the mathematical expression is 1 9 − 8    .
Now, 8 = 2×2×2 =2 2  
∴ 1 9 − 8 = 1 3−2 2  
Multiply the numerator and denominator by 3+2 2  . 1 9 − 8 = 1 3−2 2 ⋅ 3+2 2 3+2 2  
= 3+2 2 9− 2 2 2 = 3+2 2 9−8 =3+2 2  
Therefore, the correct option is (4).
 
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