Question

please answer this question asap

$\sqrt{10+\sqrt{24+\sqrt{131+\sqrt{153+\sqrt{256} } } } }$

Answer 1

$\sf \sqrt{10+\sqrt{24+\sqrt{131+\sqrt{153+\sqrt{256}}}}}$

Now solve this ,

• find their square roots !

$\sf \sqrt {256}= 16\\ \\ \\ \mapsto\sf \sqrt{10+\sqrt{24+\sqrt{131+\sqrt{153+16}}}}\\ \\ \\ \mapsto\sf \sqrt{10+\sqrt{24+\sqrt{131+\sqrt{169}}}}\\ \\ \\ \sf\ \bullet \ \sqrt{169}= 13\\ \\ \\ \mapsto\sf \sqrt{10+\sqrt{24+\sqrt{131+13}}}\\ \\ \\ \mapsto\sf \sqrt{10+\sqrt{24+\sqrt{144}}}\\ \\ \\ \bullet\sf\ \sqrt{144}=12\\ \\ \mapsto\sf \sqrt{10+\sqrt{24+12}}\\ \\ \\ \mapsto\sf\sqrt{10+\sqrt{36}}\\ \\ \bullet\sf \ \sqrt{36}= 6\\ \\ \mapsto\sf \sqrt{10+6}\\ \\ \mapsto\sf \sqrt{16}\\ \\ \mapsto\sf 4$

$\underline{\boxed{\sf{\dag\ Answer= 4}}}$

Answer 2

Answer:

4

Step-by-step explanation:

root of 256 = 16

root of 153 + 16 = root of 169 = 13

root of 131 + 13 = root of 144 = 12

root of 24 + 12 = root of 36 = 6

root of 10 + 6 = root of 16 = 4

Correct Answer is 4

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