Advertisements
Advertisements
प्रश्न
Write the simplest form of rationalising factor for the given surd.
`sqrt 50`
Advertisements
उत्तर
Since , `sqrt 50 = sqrt (25 xx 2) = 5 sqrt 2`
∴ `5sqrt2 xx sqrt2 = 5 xx 2 = 10` 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.
`11 / sqrt 3`
Write the simplest form of rationalising factor for the given surd.
`3/5 sqrt 10`
Write the lowest rationalising factor of : √24
Write the lowest rationalising factor of √5 - 3.
Write the lowest rationalising factor of : √18 - √50
Find the values of 'a' and 'b' in each of the following:
`3/[ sqrt3 - sqrt2 ] = asqrt3 - bsqrt2`
If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find :
x2
If x =`[sqrt5 - 2 ]/[ sqrt5 + 2]` and y = `[ sqrt5 + 2]/[ sqrt5 - 2 ]`; find : y2
If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find m2
If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find mn
If x = 2√3 + 2√2, find: `(x + 1/x)`
If x = 2√3 + 2√2 , find : `( x + 1/x)^2`
If x = 1 - √2, find the value of `( x - 1/x )^3`
If x = 5 - 2√6, find `x^2 + 1/x^2`
Evaluate: `( 4 - √5 )/( 4 + √5 ) + ( 4 + √5 )/( 4 - √5 )`
Rationalise the denominator and simplify `(sqrt(48) + sqrt(32))/(sqrt(27) - sqrt(18))`
Rationalise the denominator and simplify `(2sqrt(6) - sqrt(5))/(3sqrt(5) - 2sqrt(6))`
