Advertisements
Advertisements
प्रश्न
Simplify the following expressions:
`(sqrt5 - 2)(sqrt3 - sqrt5)`
Advertisements
उत्तर
We can simplify the expression `(sqrt5 - 2)(sqrt3 - sqrt5)` as
`(sqrt5 - 2)(sqrt3 - sqrt5) = sqrt5 xx sqrt3 - sqrt5 xx sqrt5 - 2 xx sqrt3 + 2 xx sqrt5`
`= sqrt15 - sqrt(5 xx 5) - 2sqrt3 + 2sqrt5`
`=sqrt15 - (5^2)^(1/2) - 2sqrt3 +2sqrt5`
`= sqrt15 - (5^2)^(1/2) - 2sqrt3 + 2sqrt5`
`= sqrt15 - 5^1 - 2sqrt3 + 2sqrt5`
Hence the value of the expression is `sqrt15 - 2sqrt3 + 2sqrt5 - 5`
APPEARS IN
संबंधित प्रश्न
Simplify of the following:
`root(3)4 xx root(3)16`
Simplify the following expressions:
`(sqrt8 - sqrt2)(sqrt8 + sqrt2)`
Simplify the following expressions:
`(3 + sqrt3)(3 - sqrt3)`
Rationales the denominator and simplify:
`(2sqrt3 - sqrt5)/(2sqrt2 + 3sqrt3)`
Simplify
`1/(2 + sqrt3) + 2/(sqrt5 - sqrt3) + 1/(2 - sqrt5)`
if `x= 3 + sqrt8`, find the value of `x^2 + 1/x^2`
Simplify: \[\frac{7 + 3\sqrt{5}}{3 + \sqrt{5}} - \frac{7 - 3\sqrt{5}}{3 - \sqrt{5}}\]
If \[a = \sqrt{2} + 1\],then find the value of \[a - \frac{1}{a}\].
Simplify the following:
`sqrt(24)/8 + sqrt(54)/9`
Simplify:
`(7sqrt(3))/(sqrt(10) + sqrt(3)) - (2sqrt(5))/(sqrt(6) + sqrt(5)) - (3sqrt(2))/(sqrt(15) + 3sqrt(2))`
