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प्रश्न
Rationalise the denominator of each of the following
`1/sqrt12`
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उत्तर
We know that rationalization factor for `1/sqrta` is `sqrta`. We will multiply numerator and denominator of the given expression `1/sqrt12` by `sqrt12` to get
`1/sqrt12 xx sqrt12/sqrt12 = sqrt12/(sqrt12 xx sqrt12)`
`= sqrt12/12`
`= (sqrt4 xx sqrt3)/12`
`= (2 xx sqrt3) /12`
`= sqrt3/6`
Hence the given expression is simplified to `sqrt3/6`
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संबंधित प्रश्न
Simplify the following expression:
`(3+sqrt3)(2+sqrt2)`
Rationalise the denominator of each of the following
`3/sqrt5`
Express each one of the following with rational denominator:
`(b^2)/(sqrt(a^2 + b^2) + a)`
Rationales the denominator and simplify:
`(4sqrt3 + 5sqrt2)/(sqrt48 + sqrt18)`
if `x = 2 + sqrt3`,find the value of `x^2 + 1/x^2`
Rationalise the denominator of the following:
`1/(sqrt7-2)`
Find the value of a and b in the following:
`(5 + 2sqrt(3))/(7 + 4sqrt(3)) = a - 6sqrt(3)`
Find the value of a and b in the following:
`(3 - sqrt(5))/(3 + 2sqrt(5)) = asqrt(5) - 19/11`
Rationalise the denominator in the following and hence evaluate by taking `sqrt(2) = 1.414, sqrt(3) = 1.732` and `sqrt(5) = 2.236`, upto three places of decimal.
`(sqrt(10) - sqrt(5))/2`
Rationalise the denominator in the following and hence evaluate by taking `sqrt(2) = 1.414, sqrt(3) = 1.732` and `sqrt(5) = 2.236`, upto three places of decimal.
`sqrt(2)/(2 + sqrt(2)`
