Advertisements
Advertisements
Question
Write the following in descending order:
`5sqrt(3), sqrt(15) and 3sqrt(5)`
Solution
Since `5sqrt(3) = sqrt(5^2 xx 3) = sqrt(25 xx 3) = sqrt(75)`
`sqrt(15) = sqrt(15)`
`3sqrt(5) = sqrt(3^2 xx 5) = sqrt(9 xx 5) = sqrt(45)`
Since, 75 > 45 > 15, we have `sqrt(75) > sqrt(45) > sqrt(15)`.
Hence, `5sqrt(3) > 3sqrt(5) > sqrt(15)`.
APPEARS IN
RELATED QUESTIONS
Find three different irrational numbers between the rational numbers `5/7` and `9/11.`
Give two rational numbers lying between 0.232332333233332... and 0.212112111211112.
Find two irrational numbers between 0.5 and 0.55.
Prove that `1/sqrt (3)` is irrational.
Which of the following is a correct statement?
Prove that the following number is irrational: √3 + √2
Without using division method show that `sqrt(7)` is an irrational numbers.
Insert two irrational numbers between 3 and 4.
The sum of two irrational numbers is always ______.
Classify the following number as rational or irrational with justification:
`3sqrt(18)`
