Advertisements
Advertisements
प्रश्न
Rationalise the denominator of the following:
`3/(2sqrt5)`
Advertisements
उत्तर
We know that rationalization factor for `1/sqrta`is `sqrta`. We will multiply numerator and denominator of the given expression `3/(2sqrt5)` by `sqrt5`to get
`3/(2sqrt5) xx sqrt5/sqrt5 = (3sqrt5)/(2sqrt5 xx sqrt5)`
`= (3sqrt5)/(2xx5)`
`= (3sqrt5)/10`
Hence the given expression is simplified to `(3sqrt5)/10`
APPEARS IN
संबंधित प्रश्न
Simplify the following expression:
`(sqrt5 - sqrt2)(sqrt5 + sqrt2)`
Simplify the following expressions:
`(2sqrt5 + 3sqrt2)^2`
Rationalise the denominator of the following
`(sqrt3 + 1)/sqrt2`
Rationalise the denominator of the following
`(3sqrt2)/sqrt5`
Express the following with rational denominator:
`1/(2sqrt5 - sqrt3)`
In the following determine rational numbers a and b:
`(sqrt3 - 1)/(sqrt3 + 1) = a - bsqrt3`
If x = \[\sqrt{5} + 2\],then \[x - \frac{1}{x}\] equals
Simplify the following:
`3sqrt(3) + 2sqrt(27) + 7/sqrt(3)`
Rationalise the denominator of the following:
`16/(sqrt(41) - 5)`
Simplify:
`(8^(1/3) xx 16^(1/3))/(32^(-1/3))`
