Advertisements
Advertisements
प्रश्न
Evaluate: `( 4 - √5 )/( 4 + √5 ) + ( 4 + √5 )/( 4 - √5 )`
Advertisements
उत्तर
`( 4 - √5 )/( 4 + √5 ) + ( 4 + √5 )/( 4 - √5 )`
= `( 4 - √5 )/( 4 + √5 ) xx ( 4 - √5)/( 4 - √5 )+ ( 4 + √5 )/( 4 - √5 ) xx ( 4 + √5 )/( 4 + √5 )`
= `( 4 - √5)^2/[(4)^2 - (√5)^2] + ( 4 + √5)^2/[(4)^2 - (√5)^2]`
= `[ 16 + 5 - 8√5 ]/[ 16 - 5 ] + [ 16 + 5 + 8√5 ]/[ 16 - 5]`
= `[ 21 - 8√5 ]/11 + [ 21 + 8√5 ]/11`
= `[ 21 - 8√5 + 21 + 8√5 ]/11`
= `42/11`
= `3 9/11`
APPEARS IN
संबंधित प्रश्न
Rationalize the denominator.
`5/sqrt 7`
Rationalize the denominator.
`6/(9sqrt 3)`
Write the simplest form of rationalising factor for the given surd.
`sqrt 50`
Write the simplest form of rationalising factor for the given surd.
`3 sqrt 72`
Write the simplest form of rationalising factor for the given surd.
`4 sqrt 11`
Write the lowest rationalising factor of 15 – 3√2.
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 n2
Show that :
`1/[ 3 - 2√2] - 1/[ 2√2 - √7 ] + 1/[ √7 - √6 ] - 1/[ √6 - √5 ] + 1/[√5 - 2] = 5`
If √2 = 1.4 and √3 = 1.7, find the value of : `1/(√3 - √2)`
