Advertisements
Advertisements
Question
Write in descending order:
`2 root(4)(6) and 3 root(4)(2)`
Solution
`2 root(4)(6) = root(4)( 2^4 xx 6 ) = root(4)(96)`
`3 root(4)(2) = root(4)( 3^4 ) = root(4)(162)`
Since 162 > 96
⇒ `root(4)(162) > root(4)(96)`
⇒ `3 root(4)(2) > 2 root(4)(6)`
APPEARS IN
RELATED QUESTIONS
State, in each case, whether true or false :
2√4 + 2 = 6
State, in each case, whether true or false :
3√7 - 2√7 = √7
State, in each case, whether true or false :
`5/11` is a rational number.
State, in each case, whether true or false :
Some real numbers are rational numbers.
Given universal set =
`{ -6, -5 3/4, -sqrt4, -3/5, -3/8, 0, 4/5, 1, 1 2/3, sqrt8, 3.01, π, 8.47 }`
From the given set, find: set of irrational numbers
Given universal set =
`{ -6, -5 3/4, -sqrt4, -3/5, -3/8, 0, 4/5, 1, 1 2/3, sqrt8, 3.01, π, 8.47 }`
From the given set, find: set of integers
Write a pair of irrational numbers whose sum is rational.
Write in ascending order : 6√5, 7√3, and 8√2
Compare : `sqrt24 and root(3)(35)`
Simplify : ( 3 + √2 )( 4 + √7 )
