Simplify the following: 3/√8 + 1/√2

Solution:

Given, the expression is 3/√8 + 1/√2

We have to simplify the expression.

3/√8 + 1/√2 = 3/√4×2 + 1/√2

Taking out common terms,

= 1/√2(3/√4 + 1)

= 1/√2(3/2 + 1)

= 1/√2((3+2)/2)

= 1/√2(5/2)

= 5/2√2

5/2√2 = 5/2√2 × √2/√2

= 5√2/4

Therefore, 3/√8 + 1/√2 = 5√2/4

✦ Try This: Simplify the following: 2/√5 + 7/√5

Given, the expression is 2/√5 + 7/√5

We have to simplify the expression.

2/√5 + 7/√5 = (2+7)/√5

= 9/√5

Therefore, 2/√5 + 7/√5 = 9/√5

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 1

NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 9(viii)

Summary:

Irrational numbers are real numbers that cannot be represented as a simple fraction. The simplified form of 3/√8 + 1/√2 is 5√2/4

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