Question Details

Find the integer portion of the numerical value of the expression E = 49+48.

Options

A

13

B

14

C

11

D

12

Show Answer

Correct Answer :

Option A

13

18

Solution :

The correct option is 13.

We are given the expression:

E=49+48

Step 1: Simplify the known square root.
We know that:
72=49
Therefore:
49=7

Step 2: Estimate the value of the second square root.
The number 48 lies between the perfect squares 36 and 49:
36<48<49
Taking the square root across all terms:
36<48<49
Simplifying the square roots:
6<48<7

Step 3: Determine the range of the full expression.
Rewrite the expression as:
E=7+48
Add 7 to all parts of the inequality:
7+6<7+48<7+7
13<E<14

Conclusion:
Since the value of
E
lies strictly between 13 and 14, its integer portion is 13.

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