Advertisements
Advertisements
प्रश्न
Express the following with rational denominator:
`16/(sqrt41 - 5)`
Advertisements
उत्तर
We know that rationalization factor for `sqrt41 - 5` is `sqrt41 + 5` to get
`16/(sqrt41 - 5) xx (sqrt41 + 5)/((sqrt41)^2 - (5)^2)`
`= (16(sqrt41) + 5)/(41- 25)`
`= (16(sqrt41 + 5))/16`
`= sqrt41 + 5`
Hence the given expression is simplified with rational denominator to `sqrt41+5`
APPEARS IN
संबंधित प्रश्न
Simplify of the following:
`root(3)4 xx root(3)16`
Simplify the following expressions:
`(sqrt5 - sqrt3)^2`
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`
`(sqrt2 - 1)/sqrt5`
Rationales the denominator and simplify:
`(4sqrt3 + 5sqrt2)/(sqrt48 + sqrt18)`
if `x = 2 + sqrt3`,find the value of `x^2 + 1/x^2`
\[\sqrt[5]{6} \times \sqrt[5]{6}\] is equal to
Simplify the following expression:
`(sqrt5+sqrt2)^2`
`root(4)root(3)(2^2)` equals to ______.
Simplify the following:
`sqrt(45) - 3sqrt(20) + 4sqrt(5)`
If `a = (3 + sqrt(5))/2`, then find the value of `a^2 + 1/a^2`.
