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प्रश्न
Write in ascending order : 6√5, 7√3 and 8√2
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उत्तर
`6sqrt5 = sqrt( 6^2 xx 5 ) = sqrt180`
`7sqrt3 = sqrt( 7^2 xx 3 ) = sqrt147`
`8sqrt2 = sqrt( 8^2 xx 2 ) = sqrt 128`
and 128 < 147 < 180
∴ `sqrt128 < sqrt147 < sqrt180`
⇒ `8sqrt2 < 7sqrt3 < 6sqrt5`
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संबंधित प्रश्न
3√7 - 2√7 = √7
State, in each case, whether true or false :
`2/7` ia an irrational number.
State, in each case, whether true or false :
All rational numbers are real 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 in ascending order: 3√5 and 4√3
Write in descending order:
`2 root(4)(6) and 3 root(4)(2)`
Write in descending order: 7√3 and 3√7
Compare : `sqrt24 and root(3)(35)`
Simplify : (√3 - √2 )2
