Evaluate  

The correct answer is:

GIVEN-
given expression = √(1 9/16)
TO FIND-
Value of the given expression.
SOLUTION-
We know that in the given mixed fraction-
Quotient = 1
Divisor = 9
Remainder = 16
√(1 9/16) = √ {[(16 * 1) + 9] / 16}
∴ √(1 9/16) = √{[16 + 9] / 16}
∴ √(1 9/16) = √ {25/16}
∴ √(1 9/16) = √25 / √16 ......................... (√(m/n = √m / √n)
∴ √(1 9/16) = 5/4
Now, when we divide 5 by 4, we get the quotient as 1, divisor as 4 and remainder as 1.
∴ √(1 9/16) = 5/4 = 1 1/4
FINAL ANSWER-
Option 'a' i.e. '1 1/4' is the correct answer to the given question.