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Simplify Each of the Following Expressions - Mathematics

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Sum

Simplify of the following expression :-

`(3+sqrt3)(2+sqrt2)`

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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

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