Advertisements
Advertisements
प्रश्न
Write the simplest form of rationalising factor for the given surd.
`3 sqrt 72`
Advertisements
उत्तर
Since, `3 sqrt 72 =3 sqrt(36 xx 2) =3 xx 6sqrt2=18sqrt 2`
`18sqrt2 xx sqrt2 = 18 xx 2 = 36` is a rational number.
So, `sqrt 2` is the simplest form of rationalising factor.
APPEARS IN
संबंधित प्रश्न
Rationalize the denominator.
`3 /sqrt5`
Rationalize the denominator.
`5/sqrt 7`
Rationalize the denominator.
`11 / sqrt 3`
Write the simplest form of rationalising factor for the given surd.
`sqrt 32`
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 15 – 3√2.
Write the lowest rationalising factor of : 3√2 + 2√3
Find the values of 'a' and 'b' in each of the following:
`( sqrt7 - 2 )/( sqrt7 + 2 ) = asqrt7 + b`
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 : y2
If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find : xy
If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find m2
If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find n2
If x = 2√3 + 2√2, find: `(x + 1/x)`
Rationalise the denominator `(3sqrt(5))/sqrt(6)`
Rationalise the denominator and simplify `sqrt(5)/(sqrt(6) + 2) - sqrt(5)/(sqrt(6) - 2)`
Given `sqrt(2)` = 1.414, find the value of `(8 - 5sqrt(2))/(3 - 2sqrt(2))` (to 3 places of decimals).
