Advertisements
Advertisements
प्रश्न
Write the simplest form of rationalising factor for the given surd.
`sqrt 27`
Advertisements
उत्तर
Since , `sqrt 27 = sqrt (9 xx 3) = 3 sqrt 3`
`therefore 3sqrt3 xx sqrt3 = 3 xx 3 = 9` is a rational number.
So, `sqrt 3` is the simplest form of rationalising factor.
APPEARS IN
संबंधित प्रश्न
Rationalize the denominator.
`5/sqrt 7`
Write the simplest form of rationalising factor for the given surd.
`3/5 sqrt 10`
Write the lowest rationalising factor of 5√2.
Write the lowest rationalising factor of : 7 - √7
Write the lowest rationalising factor of : √18 - √50
Write the lowest rationalising factor of : √5 - √2
Find the values of 'a' and 'b' in each of the following:
`[5 + 3sqrt2]/[ 5 - 3sqrt2] = a + bsqrt2`
If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2]`; find:
x2 + y2 + xy.
If x = 2√3 + 2√2, find: `(x + 1/x)`
If x = 1 - √2, find the value of `( x - 1/x )^3`
Evaluate: `( 4 - √5 )/( 4 + √5 ) + ( 4 + √5 )/( 4 - √5 )`
If √2 = 1.4 and √3 = 1.7, find the value of : `1/(√3 - √2)`
Rationalise the denominator `sqrt(75)/sqrt(18)`
Rationalise the denominator and simplify `(2sqrt(6) - sqrt(5))/(3sqrt(5) - 2sqrt(6))`
Find the value of a and b if `(sqrt(7) - 2)/(sqrt(7) + 2) = asqrt(7) + b`.
If x = `sqrt(5) + 2`, then find the value of `x^2 + 1/x^2`
