Which of the following statements(S) is/are **TRUE ? ** I. \sqrt[3]{512}\times\sqrt{256}>\sqrt[3]{343}\times\sqrt{289} II. \sqrt{121}+\sqrt[3]{1331}>\sqrt[3]{125}\times\sqrt{25}

Question 14

Which of the following statements(S) is/are TRUE ?

I. $$\sqrt[3]{512}\times\sqrt{256}>\sqrt[3]{343}\times\sqrt{289}$$

II. $$\sqrt{121}+\sqrt[3]{1331}>\sqrt[3]{125}\times\sqrt{25}$$

Solution

I : $$\sqrt[3]{512}\times\sqrt{256}>\sqrt[3]{343}\times\sqrt{289}$$

L.H.S. = $$8\times16=128$$

R.H.S. = $$7\times17=119$$

Thus, $$128>119$$, which is correct.

II : $$\sqrt{121}+\sqrt[3]{1331}>\sqrt[3]{125}\times\sqrt{25}$$

L.H.S. = $$11+11=22$$

R.H.S. = $$5\times5=25$$

Thus, $$22<25$$

$$\therefore$$ Only I is correct.

=> Ans - (A)

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