Advertisements
Advertisements
प्रश्न
Simplify the following expressions:
`(11 + sqrt11)(11 - sqrt11)`
Advertisements
उत्तर
We know that `(a + b)(a - b) = a^2 - b^2` We will use this property to simplify the expression
`(11 + sqrt11)(11 - sqrt11)`
`∴ (11 + sqrt11)(11 - sqrt11) = 11^2 - (sqrt11)^2`
`= 11 xx 11 - sqrt11 xx sqrt11`
`= 121 - sqrt(11 xx 11)`
`= 121 - (11^2)^(1/2)`
= 121 - 11
= 110
Hence the value of expression is 110.
APPEARS IN
संबंधित प्रश्न
\[\sqrt{10} \times \sqrt{15}\] is equal to
Simplify the following:
`root(4)(81) - 8root(3)(216) + 15root(5)(32) + sqrt(225)`
Simplify the following:
`(2sqrt(3))/3 - sqrt(3)/6`
Rationalise the denominator of the following:
`(3 + sqrt(2))/(4sqrt(2))`
Rationalise the denominator of the following:
`(2 + sqrt(3))/(2 - sqrt(3))`
Rationalise the denominator of the following:
`sqrt(6)/(sqrt(2) + sqrt(3))`
Find the value of a and b in the following:
`(3 - sqrt(5))/(3 + 2sqrt(5)) = asqrt(5) - 19/11`
Rationalise the denominator in the following and hence evaluate by taking `sqrt(2) = 1.414, sqrt(3) = 1.732` and `sqrt(5) = 2.236`, upto three places of decimal.
`sqrt(2)/(2 + sqrt(2)`
Simplify:
`(1/27)^((-2)/3)`
If `a = (3 + sqrt(5))/2`, then find the value of `a^2 + 1/a^2`.
