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Simplify the following: √24/8 + √54/9

Solution:

Given, the expression is √24/8 + √54/9

We have to simplify the expression.

√24 = √4×6

= 2√6

√24/8 = 2√6/8

= √6/4

√54 = √9×6

= 3√6

√54/9 = 3√6/9

= √6/3

Now, √24/8 + √54/9 = √6/4 + √6/3

= (3√6 + 4√6) / 12

= 7√6/12

Therefore, √24/8 + √54/9 = 7√6/12

✦ Try This: Simplify: 7/√9 - 3/√4

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

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

Summary:

Real numbers that are not rational numbers are known as irrational numbers. The simplified form of the expression √24/8 + √54/9 is 7√6/12

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