Find the integer portion of the numerical value of the expression E = .
Correct Answer :
13
Solution :
The correct option is 13.
We are given the expression:
Step 1: Simplify the known square root.
We know that:
Therefore:
Step 2: Estimate the value of the second square root.
The number 48 lies between the perfect squares 36 and 49:
Taking the square root across all terms:
Simplifying the square roots:
Step 3: Determine the range of the full expression.
Rewrite the expression as:
Add 7 to all parts of the inequality:
Conclusion:
Since the value of
lies strictly between 13 and 14, its integer portion is 13.
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