Question
Download Solution PDFWhich of the following statement(s) is/are TRUE?
I. 2√3 > 3√2
II. 4√2 > 2√8Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFStatement I:
2√3 > 3√2
To Check either above given relation is correct or not, simplifying by squaring on both the sides.
⇒ (2√3)2 > (3√2)2
⇒ 12 > 18 which is not true, as we know that 18 is greater than 12.
So, the given relation in statement I is not true.
Statement II:
Now, simplifying the values given in statement II
(Note: 2√8 = 2√(4 × 2) = 4√2)
4√2 > 2√8 on taking the square root from the right hand side.
⇒ 4√2 > 2 × 2√2
⇒ 4√2 > 4√2 which is not true, as the the value on left hand side is equal to the value on right hand side.
So, the given relation in statement II is also not true.
Last updated on Jun 24, 2025
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