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Chapter 1: Q18. (page 44)

Find each sum or difference. Write in the simplest form.

16+鈭�12

Short Answer

Expert verified

The simplest form is鈭�13.

Step by step solution

01

Step 1. Concept of like and unlike signs.

If there is sign like++ or鈭�鈭� then the resulting sign will be positive and if there is unlike+鈭� sign鈭�+ or then the resulting will be negative

Thus the simple form of given expression by nature of sign is

16鈭�12

02

Step 2. Take L.C.M of the denominators of each fraction.

Since, 6 is completely divided by 2,

Thus

L.C.Mof6and2is=6

03

Step 2. Evaluate the difference.

First, make the denominators of all fractions equal to LCM by multiplying the numerator and denominator with an integer. Then add/subtract the numerators directly over the common denominator.

16鈭�12=16鈭�1鈰�32鈰�3=16鈭�36=1鈭�36=鈭�26

04

Step 3. Simplify the result.

Write the fraction with factor form and then simplify it.

=鈭�22脳3=鈭�13

Therefore, the simplest form is鈭�13.

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