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

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

#### 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