Question

√(5 √(5 √(5 √(5)))) solve

Answer 1

\(\sqrt{(5\sqrt{(5\sqrt{(5\sqrt{5})))}}}\)

Right?

Answer 2

\(\begin{array}{}(5\sqrt{5\sqrt{5\sqrt{5}}})^{\cfrac{1}{2}}\\
(5\times 5 \sqrt{5\sqrt{5}})^\cfrac{1}{4}\\
(5\times 5\times 5 \sqrt{5})^\cfrac{1}{8}\\
(5\times 5\times 5\times 5)^\cfrac{1}{16}\\
\end{array}\)

Answer 3

\[= \left(5^4\right)^{\large \frac{1}{16}}\]

Answer 4

@k.m.imran can you solve it now?

Answer 5

i think its should to be :
\[\sqrt{5*\sqrt{5*\sqrt[4]{5^{3}}}}=\sqrt{5*\sqrt[8]{5^{7}}}=\sqrt[16]{5^{15}} = 5^{\frac{ 15 }{ 16 }}\]

Answer 6

hey @mathslover mmm my answer is wrong? :-?

Answer 7

Not sure horotat, we need the asker's interaction at this time.

Answer 8

@mathslover at last what is the correct answer?

Answer 9

its a wrog answer seems

Answer 10

@k.m.imran you mean \[5^{\frac{ 15 }{ 16 }}\] is incorrect?

Answer 11

for five square root of 5 answer is \[5^{31/32}\]

Answer 12

:-? what is incorect in my answer?

Answer 13

hey could you explain me how you got that??? @horotat your answer is correct

Answer 14

Ok! Horotat, good work dude.

Answer 15

i written my complete answer a little upper :-?
you see that?

Answer 16

HOW DID U GOT

Answer 17

\[5^{15}\]

Answer 18

\(\sqrt{5\sqrt{5 \sqrt{5\sqrt{5}}}}\) Is this the question @k.m.imran ?

Answer 19

rewrite using rational exponents
starting inside we have (5(5(5(5)^1/2)^1/2)^1/2)^1/2

Answer 20

yes @mathslover