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# Simplify Each of the Following Expressions - CBSE Class 9 - Mathematics

ConceptOperations on Real Numbers

#### Question

Simplify of the following expression :-

(3+sqrt3)(2+sqrt2)

#### Solution

(3+sqrt3)(2+sqrt2)

(3+sqrt3)(2+sqrt2) = 3(2+sqrt2)+sqrt3(2+sqrt2)
Left Distributive law of multiplication over addition

= (3)(2)+3sqrt2+(sqrt3(2))+(sqrt3)(sqrt2)

= 6+3sqrt2+2sqrt3+sqrt((3)(2))            thereforesqrtasqrtb=sqrt(ab)

= 6+3sqrt2+2sqrt3+sqrt6

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#### APPEARS IN

NCERT Solution for Mathematics Class 9 (2018 to Current)
Chapter 1: Number Systems
Ex. 1.50 | Q: 2.1 | Page no. 24

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Solution Simplify Each of the Following Expressions Concept: Operations on Real Numbers.
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