Advertisements
Advertisements
प्रश्न
Simplify : `sqrt18/[ 5sqrt18 + 3sqrt72 - 2sqrt162]`
Advertisements
उत्तर
`sqrt18/[ 5sqrt18 + 3sqrt72 - 2sqrt162]`
= `sqrt( 9 xx 2 )/[5sqrt( 9 xx 2) + 3sqrt( 36 xx 2 ) - 2sqrt( 81 xx 2 )]`
= `(3sqrt2)/( 15sqrt2 + 18sqrt2 - 18sqrt2 )`
= `(3sqrt2)/( 15sqrt2 )`
= `1/5`
APPEARS IN
संबंधित प्रश्न
Rationalise the denominators of : `[ 2 - √3 ]/[ 2 + √3 ]`
Rationalise the denominators of : `3/[ sqrt5 + sqrt2 ]`
Rationalise the denominators of : `[ sqrt3 - sqrt2 ]/[ sqrt3 + sqrt2 ]`
Simplify by rationalising the denominator in the following.
`(3 - sqrt(3))/(2 + sqrt(2)`
Simplify the following :
`(6)/(2sqrt(3) - sqrt(6)) + sqrt(6)/(sqrt(3) + sqrt(2)) - (4sqrt(3))/(sqrt(6) - sqrt(2)`
Simplify the following :
`(7sqrt(3))/(sqrt(10) + sqrt(3)) - (2sqrt(5))/(sqrt(6) + sqrt(5)) - (3sqrt(2))/(sqrt(15) + 3sqrt(2)`
In the following, find the values of a and b:
`(1)/(sqrt(5) - sqrt(3)) = "a"sqrt(5) - "b"sqrt(3)`
If x = `(4 - sqrt(15))`, find the values of
`(1)/x`
If x = `(4 - sqrt(15))`, find the values of
`x^3 + (1)/x^3`
Draw a line segment of length `sqrt3` cm.
