Advertisements
Advertisements
प्रश्न
Write the value of \[\left( 2 + \sqrt{3} \right) \left( 2 - \sqrt{3} \right) .\]
Advertisements
उत्तर
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`
APPEARS IN
संबंधित प्रश्न
Find the value to three places of decimals of the following. It is given that
`sqrt2 = 1.414`, `sqrt3 = 1.732`, `sqrt5 = 2.236` and `sqrt10 = 3.162`
`(sqrt5 + 1)/sqrt2`
In the following determine rational numbers a and b:
`(sqrt11 - sqrt7)/(sqrt11 + sqrt7) = a - bsqrt77`
In the following determine rational numbers a and b:
`(4 + 3sqrt5)/(4 - 3sqrt5) = a + bsqrt5`
Write the reciprocal of \[5 + \sqrt{2}\].
Simplify the following expression:
`(sqrt5+sqrt2)^2`
Rationalise the denominator of the following:
`16/(sqrt(41) - 5)`
Rationalise the denominator of the following:
`(sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2))`
Rationalise the denominator in the following and hence evaluate by taking `sqrt(2) = 1.414, sqrt(3) = 1.732` and `sqrt(5) = 2.236`, upto three places of decimal.
`6/sqrt(6)`
Simplify:
`[((625)^(-1/2))^((-1)/4)]^2`
Simplify:
`(7sqrt(3))/(sqrt(10) + sqrt(3)) - (2sqrt(5))/(sqrt(6) + sqrt(5)) - (3sqrt(2))/(sqrt(15) + 3sqrt(2))`
