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Find the value if x and simplify completely
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Find the value if x and simplify completely

Find the value if x and simplify completely-example-1
User Darkbluesun
by
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1 Answer

1 vote

Answer:


x = 9 √(10)

Explanation:

By Geometric mean property:


y = √(3 * 27) \\ = √(81) \\ y = 9 \\ by \: pythagors \: theorem : \\ x = \sqrt{ {27}^(2) + {9}^(2) } \\ = \sqrt{(9 * 3)^(2) + {9}^(2) } \\ = \sqrt{ {9}^(2) * {3}^(2) + { {9}^(2) } } \\ = \sqrt{ {9}^(2) ( {3}^(2) + 1)} \\ = 9 √(9 + 1) \\ x = 9 √(10)

User MrStahlfelge
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