Simplify: (3√5 - 5√2)(4√5 + 3√2)

Solution:

Given, the expression is (3√5 - 5√2)(4√5 + 3√2)

We have to simplify the given expression.

By multiplicative and distributive property,

(3√5 - 5√2)(4√5 + 3√2) = 3√5(4√5) + 3√5(3√2) - 5√2(4√5) - 5√2(3√2)

= 12(5) + 9√5(√2) - 20√5(√2) - 15(2)

= 60 + 9√10 - 20√10 - 30

= 60 - 30 + 9√10 - 20√10

= 30 - 11√10

Therefore, (3√5 - 5√2)(4√5 + 3√2) = 30 - 11√10

✦ Try This: (2√3 - 4√2)(4√3 + 5√2)

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

NCERT Exemplar Class 9 Maths Exercise 1.3 Sample Problem 3

Simplify: (3√5 - 5√2)(4√5 + 3√2)

Summary:

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The simplified form of (3√5 - 5√2)(4√5 + 3√2) is 30 - 11√10

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