Advertisements
Advertisements
प्रश्न
Simplify the following expressions:
`(11 + sqrt11)(11 - sqrt11)`
Advertisements
उत्तर
We know that `(a + b)(a - b) = a^2 - b^2` We will use this property to simplify the expression
`(11 + sqrt11)(11 - sqrt11)`
`∴ (11 + sqrt11)(11 - sqrt11) = 11^2 - (sqrt11)^2`
`= 11 xx 11 - sqrt11 xx sqrt11`
`= 121 - sqrt(11 xx 11)`
`= 121 - (11^2)^(1/2)`
= 121 - 11
= 110
Hence the value of expression is 110.
APPEARS IN
संबंधित प्रश्न
Rationalise the denominator of each of the following
`1/sqrt12`
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`
`(2 + sqrt3)/3`
In the following determine rational numbers a and b:
`(4 + 3sqrt5)/(4 - 3sqrt5) = a + bsqrt5`
if `x = (sqrt3 + 1)/2` find the value of `4x^2 +2x^2 - 8x + 7`
The value of `(sqrt(32) + sqrt(48))/(sqrt(8) + sqrt(12))` is equal to ______.
Simplify the following:
`sqrt(24)/8 + sqrt(54)/9`
Simplify the following:
`3sqrt(3) + 2sqrt(27) + 7/sqrt(3)`
Rationalise the denominator of the following:
`2/(3sqrt(3)`
Rationalise the denominator of the following:
`(2 + sqrt(3))/(2 - sqrt(3))`
Find the value of a and b in the following:
`(sqrt(2) + sqrt(3))/(3sqrt(2) - 2sqrt(3)) = 2 - bsqrt(6)`
