Advertisements
Advertisements
Question
If √2 = 1.4 and √3 = 1.7, find the value of : `1/(3 + 2√2)`
Advertisements
Solution
√2 = 1.4 and √3 = 1.7
`1/( 3 + 2√2 )`
= `1/( 3 + 2√2 ) xx ( 3 - 2√2)/( 3 - 2√2)`
= `( 3 - 2√2 )/((3)^2 - (2√2)^2)`
= `( 3 - 2√2 )/( 9 - 8 )`
= 3 - 2√2
= 3 - 2( 1.4 )
= 3 - 2.8
= 0.2
APPEARS IN
RELATED QUESTIONS
Rationalize the denominator.
`6/(9sqrt 3)`
Write the simplest form of rationalising factor for the given surd.
`sqrt 27`
Write the lowest rationalising factor of : 7 - √7
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`
Find the values of 'a' and 'b' in each of the following:
`[5 + 3sqrt2]/[ 5 - 3sqrt2] = a + bsqrt2`
If `[ 2 + sqrt5 ]/[ 2 - sqrt5] = x and [2 - sqrt5 ]/[ 2 + sqrt5] = y`; find the value of x2 - y2.
Rationalise the denominator `(3sqrt(5))/sqrt(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`
