Advertisements
Advertisements
प्रश्न
Simplify the following expressions:
`(sqrt5 - 2)(sqrt3 - sqrt5)`
Advertisements
उत्तर
We can simplify the expression `(sqrt5 - 2)(sqrt3 - sqrt5)` as
`(sqrt5 - 2)(sqrt3 - sqrt5) = sqrt5 xx sqrt3 - sqrt5 xx sqrt5 - 2 xx sqrt3 + 2 xx sqrt5`
`= sqrt15 - sqrt(5 xx 5) - 2sqrt3 + 2sqrt5`
`=sqrt15 - (5^2)^(1/2) - 2sqrt3 +2sqrt5`
`= sqrt15 - (5^2)^(1/2) - 2sqrt3 + 2sqrt5`
`= sqrt15 - 5^1 - 2sqrt3 + 2sqrt5`
Hence the value of the expression is `sqrt15 - 2sqrt3 + 2sqrt5 - 5`
APPEARS IN
संबंधित प्रश्न
Represent `sqrt9.3` on the number line.
Rationalise the denominator of each of the following
`3/sqrt5`
Rationales the denominator and simplify:
`(3 - sqrt2)/(3 + sqrt2)`
In the following determine rational numbers a and b:
`(4 + sqrt2)/(2 + sqrt2) = n - sqrtb`
In the following determine rational numbers a and b:
`(sqrt11 - sqrt7)/(sqrt11 + sqrt7) = a - bsqrt77`
Simplify `(7 + 3sqrt5)/(3 + sqrt5) - (7 - 3sqrt5)/(3 - sqrt5)`
If \[x = 2 + \sqrt{3}\] , find the value of \[x + \frac{1}{x}\].
If x = \[\sqrt{5} + 2\],then \[x - \frac{1}{x}\] equals
Simplify the following:
`root(4)(81) - 8root(3)(216) + 15root(5)(32) + sqrt(225)`
Rationalise the denominator of the following:
`2/(3sqrt(3)`
