![\sqrt[4]{137 - 36 \sqrt{14} }](https://tex.z-dn.net/?f=+%5Csqrt%5B4%5D%7B137+-+36+%5Csqrt%7B14%7D+%7D+ "\sqrt[4]{137 - 36 \sqrt{14} }")
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Answered by
4
Answer:
Step-by-step explanation:
given
137-36sqrt(14)
=137-2*18sqrt(14)
=137-2sqrt(14*324)
=137-2sqrt(4536)
=56+81-2(56*81)
=sqrt(56)+sqrt(81))^2)^1/4
=sqrt(56+sqrt(81))^(1/2)
=9+sqrt(14*4))^(1/2)
=(7+2+2*sqrt(7*2))^(1/2)
=sqrt(7)+sqrt(2)
Answered by
0
Answer:
√7-√2
Step-by-step explanation:
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