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प्रश्न
Simplify the following:
`(sqrt(3) - sqrt(2))^2`
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उत्तर
`(sqrt(3) - sqrt(2))^2 = (sqrt(3))^2 + (sqrt(2))^2 - 2sqrt(3) xx sqrt(2)` ...[Using identity, (a – b)2 = a2 + b2 – 2ab]
= `3 + 2 - 2sqrt(3 xx 2)`
= `5 - 2sqrt(6)`
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संबंधित प्रश्न
Rationalise the denominator of each of the following
`3/sqrt5`
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`
`(sqrt5 + 1)/sqrt2`
Rationales the denominator and simplify:
`(3 - sqrt2)/(3 + sqrt2)`
Simplify:
`2/(sqrt5 + sqrt3) + 1/(sqrt3 + sqrt2) - 3/(sqrt5 + sqrt2)`
Find the value of `6/(sqrt5 - sqrt3)` it being given that `sqrt3 = 1.732` and `sqrt5 = 2.236`
if `x= 3 + sqrt8`, find the value of `x^2 + 1/x^2`
Classify the following number as rational or irrational:
`1/sqrt2`
Simplify the following expression:
`(3+sqrt3)(3-sqrt3)`
Rationalise the denominator of the following:
`sqrt(40)/sqrt(3)`
Simplify:
`(8^(1/3) xx 16^(1/3))/(32^(-1/3))`
