Advertisements
Advertisements
Question
The value of `(sqrt(32) + sqrt(48))/(sqrt(8) + sqrt(12))` is equal to ______.
Options
`sqrt(2)`
2
4
8
Advertisements
Solution
The value of `(sqrt(32) + sqrt(48))/(sqrt(8) + sqrt(12))` is equal to 2.
Explanation:
`(sqrt(32) + sqrt(48))/(sqrt(8) + sqrt(12)) = (sqrt(16 xx 2) + sqrt(16 xx 3))/(sqrt(4 xx 2) + sqrt(4 xx 3))`
= `(4sqrt(2) + 4sqrt(3))/(2sqrt(2) + 2sqrt(3))`
= `(4(sqrt(2) + sqrt(3)))/(2(sqrt(2) + sqrt(3))`
= 2
APPEARS IN
RELATED QUESTIONS
Represent `sqrt9.3` on the number line.
Simplify the following expressions:
`(sqrt3 + sqrt7)^2`
Rationalise the denominator of the following
`(3sqrt2)/sqrt5`
Express of the following with rational denominator:
`1/(sqrt6 - sqrt5)`
Classify the following number as rational or irrational:
`(3+sqrt23)-sqrt23`
Rationalise the denominator of the following:
`1/(sqrt7-sqrt6)`
Simplify the following:
`root(4)(81) - 8root(3)(216) + 15root(5)(32) + sqrt(225)`
Rationalise the denominator of the following:
`2/(3sqrt(3)`
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.
`4/sqrt(3)`
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)`
