Advertisements
Advertisements
प्रश्न
Write the following in ascending order:
`2sqrt(5), sqrt(3) and 5sqrt(2)`
उत्तर
`2sqrt(5) = sqrt(2^2 xx 5) = sqrt(4 xx 5) = sqrt(20)`
`sqrt(3) = sqrt(3)`
`5sqrt(2) = sqrt(5^2 xx 2) = sqrt(25 xx 2) = sqrt(50)`
Since, 3 < 20 < 50, we have `sqrt(3) < sqrt(20) < sqrt(50)`.
Hence, `sqrt(3) < sqrt(2) < 5sqrt(2)`.
APPEARS IN
संबंधित प्रश्न
Examine, whether the following number are rational or irrational:
`2+sqrt3`
Classify the numbers `root (3)(3)` as rational or irrational:
Prove that of the numbers `2 -3 sqrt(5)` is irrational:
Find the square of : √5 - 2
Insert five irrational numbers between `2sqrt5` and `3sqrt3`.
State whether the following number is rational or irrational
`(2 + sqrt(2))(2 - sqrt(2))`
Check whether the square of the following is rational or irrational:
`3 + sqrt(2)`
Represent the number `sqrt(7)` on the number line.
Classify the following number as rational or irrational with justification:
0.5918
Classify the following number as rational or irrational with justification:
1.010010001...
