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
Classify the following numbers as rational or irrational:
`2-sqrt5`
Simplify the following expressions:
`(sqrt5 - 2)(sqrt3 - sqrt5)`
Rationalise the denominator of each of the following
`1/sqrt12`
Express of the following with rational denominator:
`1/(sqrt6 - sqrt5)`
Rationales the denominator and simplify:
`(1 + sqrt2)/(3 - 2sqrt2)`
In the following determine rational numbers a and b:
`(3 + sqrt2)/(3 - sqrt2) = a + bsqrt2`
Find the values the following correct to three places of decimals, it being given that `sqrt2 = 1.4142`, `sqrt3 = 1.732`, `sqrt5 = 2.2360`, `sqrt6 = 2.4495` and `sqrt10 = 3.162`
`(3 - sqrt5)/(3 + 2sqrt5)`
\[\sqrt{10} \times \sqrt{15}\] is equal to
Simplify the following:
`4sqrt12 xx 7sqrt6`
Simplify the following:
`3sqrt(3) + 2sqrt(27) + 7/sqrt(3)`
