Advertisements
Advertisements
Question
Simplify the following:
`(sqrt(3) - sqrt(2))^2`
Advertisements
Solution
`(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)`
APPEARS IN
RELATED QUESTIONS
Represent `sqrt9.3` on the number line.
Simplify the following expressions:
`(2sqrt5 + 3sqrt2)^2`
Express the following with rational denominator:
`(sqrt3 + 1)/(2sqrt2 - sqrt3)`
Classify the following number as rational or irrational:
`(3 + sqrt23) - sqrt23`
Simplify the following expression:
`(3+sqrt3)(3-sqrt3)`
Value of `root(4)((81)^-2)` is ______.
Simplify the following:
`3sqrt(3) + 2sqrt(27) + 7/sqrt(3)`
Rationalise the denominator of the following:
`sqrt(40)/sqrt(3)`
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.
`1/(sqrt(3) + sqrt(2))`
