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schepotkina [342]
2 years ago
10

Hello! Can someone help me with this, please?

Mathematics
2 answers:
marysya [2.9K]2 years ago
6 0
5.5 ft have a good day
Trava [24]2 years ago
5 0

Answer:

5.5 ft

Hope this helped!

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10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x
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\bf \cfrac{4\sqrt{28350x}}{189x}\qquad &#10;\begin{cases}&#10;28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\&#10;\qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\&#10;\qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\&#10;\qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\&#10;\qquad 2\cdot (45)^2\cdot 7\\&#10;\qquad 14\cdot 45^2&#10;\end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x}&#10;\\\\\\&#10;\cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}
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