Simplify 4 √[(390695T− 8)½)]
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Correct Answer: Option C
Explanation:
4√(390625T − 8)½
[(390625T − 8)½]¼
[((390625)½ x T − 8)½]¼
(√ 390625 x T − 4 )¼
(625 x T −¼)¼
(54 x T −4)¼
= (54)¼ x (T − 4 )¼
= 5 x T − 1
= 5 x 1/T
= 5/T
4√(390625T − 8)½
[(390625T − 8)½]¼
[((390625)½ x T − 8)½]¼
(√ 390625 x T − 4 )¼
(625 x T −¼)¼
(54 x T −4)¼
= (54)¼ x (T − 4 )¼
= 5 x T − 1
= 5 x 1/T
= 5/T