Advertisements
Advertisements
Question
Find the compounded ratio of the following:
`sqrt 8 : 4 , 3 : sqrt 5` and `sqrt 20 : sqrt 27`
Advertisements
Solution
Compounded ratio of `sqrt 8 : 4 , 3 : sqrt 5` and `sqrt 20 : sqrt 27`
= `sqrt 8/4 xx 3/sqrt 5 xx sqrt 20/sqrt 27`
= `(2 sqrt 2)/4 xx 3/sqrt 5 xx (2 sqrt 5)/(3 sqrt 3)`
= `sqrt 2/sqrt 3`
Compounded raoo = `sqrt 2 : sqrt 3`
APPEARS IN
RELATED QUESTIONS
Convert the following ratio to a percentage.
3 : 4
If (3x – 4y) : (2x – 3y) = (5x – 6y) : (4x – 5y), find x : y.
If x = `"pab"/("a + b")`, then prove that `("x + pa")/("x - pa") + ("x + pb")/("x - pb") = (2("a"^2 - "b"^2))/"ab"`
If b is the mean proportion between a and c, show that:
`("a"^4 + "a"^2"b"^2 + "b"^4)/("b"^4 + "b"^2"c"^2 +"c"^4) = "a"^2/"c"^2`
Express the following ratios in its simplest form :
2 years: 9 months
State true or false :
A ratio of 250 gm and 3 kg is 1 : 12.
Find the third proportional of 1.6 and 0.8
A profit of Rs 2,500 is to be shared among three persons in the ratio 6 : 9 : 10. How much does each person get?
In an army camp, there were provisions for 425 men for 30 days. How long did the provisions last for 375 men?
The ratio 5 : 4 is different from the ratio 4 : 5.
