Which of the following statement(s) is/are **TRUE**? I. \sqrt{625}+\sqrt[4]{1296}+\sqrt{1024}>90 II. \sqrt[3]{(\sqrt{729})}+\sqrt[4]{(\sqrt{256})}=5

Question 11

Which of the following statement(s) is/are TRUE?
I. $$\sqrt{625}+\sqrt[4]{1296}+\sqrt{1024}>90$$

II. $$\sqrt[3]{(\sqrt{729})}+\sqrt[4]{(\sqrt{256})}=5$$

Solution

$$\sqrt{625}+\sqrt[\ 4]{1296}+\sqrt{1024}$$

$$=25+\ 6+32$$

$$=63.$$

So, (I) is not correct.

$$\sqrt[3]{(\sqrt{729})}+\sqrt[4]{(\sqrt{256})}$$

$$=\sqrt[3]{27}+\sqrt[4]{16}$$

$$=3+2.$$

$$=5.$$

So, (II) is correct choice.

B is correct choice.

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