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Write the Value of ( 2 + √ 3 ) ( 2 − √ 3 ) . - Mathematics

Answer in Brief

Write the value of \[\left( 2 + \sqrt{3} \right) \left( 2 - \sqrt{3} \right) .\]

 

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Solution

Given that 

`(2+sqrt3)(2-sqrt3)`

It can be simplified as 

`(2+sqrt3)(2-sqrt3) = 2 xx2-2xxsqrt3+2xx sqrt3 - (sqrt3)^2`

                            ` = 4-2sqrt3+2sqrt3 - `

                             `= 4-3`

                            ` = 1`

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 3 Rationalisation
Q 1 | Page 16
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