Advertisements
Advertisements
प्रश्न
Simplify the following expressions:
`(3 + sqrt3)(5 - sqrt2)`
Advertisements
उत्तर
We can simplify the expression `(3 + sqrt3)(5 - sqrt2)`as
`(3 + sqrt3)(5 - sqrt2) = 3 xx 5 - 3 xx sqrt2 + 5xx sqrt3 - sqrt3 xx sqrt2`
`= 15 - 3sqrt2 + 5sqrt3 - sqrt(3 xx2)`
`= 15 - 3sqrt2 + 5sqrt3 - sqrt6`
Hence the value of the expression is `15 - 3sqrt2 + 5sqrt3 - sqrt6`
APPEARS IN
संबंधित प्रश्न
Represent `sqrt9.3` on the number line.
Simplify the following expressions:
`(sqrt5 - sqrt3)^2`
Rationalise the denominator of the following
`(sqrt2 + sqrt5)/3`
Express the following with rational denominator:
`30/(5sqrt3 - 3sqrt5)`
Express the following with rational denominator:
`1/(2sqrt5 - sqrt3)`
Express the following with rational denominator:
`(3sqrt2 + 1)/(2sqrt5 - 3)`
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)`
Value of (256)0.16 × (256)0.09 is ______.
Rationalise the denominator of the following:
`(3 + sqrt(2))/(4sqrt(2))`
If `x = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2))` and `y = (sqrt(3) - sqrt(2))/(sqrt(3) + sqrt(2))`, then find the value of x2 + y2.
