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
Simplify of the following:
`root(4)1250/root(4)2`
Simplify the following expressions:
`(3 + sqrt3)(3 - sqrt3)`
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`
`(sqrt10 + sqrt15)/sqrt2`
`
Simplify:
`2/(sqrt5 + sqrt3) + 1/(sqrt3 + sqrt2) - 3/(sqrt5 + sqrt2)`
Rationalise the denominator of the following:
`1/(sqrt5+sqrt2)`
The value of `(sqrt(32) + sqrt(48))/(sqrt(8) + sqrt(12))` is equal to ______.
Simplify the following:
`(sqrt(3) - sqrt(2))^2`
Simplify the following:
`3/sqrt(8) + 1/sqrt(2)`
Simplify:
`(8^(1/3) xx 16^(1/3))/(32^(-1/3))`
Simplify:
`(7sqrt(3))/(sqrt(10) + sqrt(3)) - (2sqrt(5))/(sqrt(6) + sqrt(5)) - (3sqrt(2))/(sqrt(15) + 3sqrt(2))`
