# Simplify Each of the Following Expressions - Mathematics

Sum

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

Concept: Operations on Real Numbers
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#### APPEARS IN

NCERT Class 9 Maths
Chapter 1 Number Systems
Exercise 1.5 | Q 2.1 | Page 24