Which of the following statement(s) is/are TRUE? (I) \(\sqrt {144} \times \sqrt {36} < \sqrt[3]{{125}} \times \sqrt {121}\) (II) \(\sqrt {324} + \sqrt {49} > \sqrt[3]{{216}} \times \sqrt 9\)
Which of the following statement(s) is/are TRUE? (I) \(\sqrt {144} \times \sqrt {36} < \sqrt[3]{{125}} \times \sqrt {121}\) (II) \(\sqrt {324} + \sqrt {49} > \sqrt[3]{{216}} \times \sqrt 9\) Correct Answer Only II
Checking 1st Statement √144 × √36 < ∛125 × √121
⇒ 12 × 6 < 5 × 11
⇒ 72 < 55
Condition of 1st Statement is false.
Checking 2nd Statement √324 + √49 > ∛216 × √9
⇒ 18 + 7 > 6 × 3
⇒ 25 > 18
Condition of 2nd Statement is true
So the answer is Only 2
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Feb 20, 2025