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anonymous
 5 years ago
rationalize denominator
40 divided by sq. 5 * 40 divided by sq. 5
anonymous
 5 years ago
rationalize denominator 40 divided by sq. 5 * 40 divided by sq. 5

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Is this \(\frac{40}{\sqrt{5}}\cdot\frac{40}{\sqrt{5}}\)?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.040 / (sq. (5 * 40)) / sq.(5)? 40 * sq.(5) / (sq. (5 * 40) 40 / sq.(40) sq.(40) / 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ah: 40 * 40 / 5 1600 / 5 320

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0In that case, realize that when you multiply fractions, you multiply the numerators together and then the denominators together. Multiplying the denominators together you get \(\sqrt{5}^2\), which is just 5. So the denominator rationalizes itself.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0That is not the way I did it but I came up with 5 over 5 which is 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Did you multiply the entire thing by \(\frac{\sqrt{5}}{\sqrt{5}}\)?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no I simplified it came up with the common denominator I had 40 over 5 and then simplified it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0How did you simplify it?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I see what I did wrong the answer is just 5

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If you keep it in fraction form and don't reduce, then yes. The final fraction is \(\frac{1600}{5}\) as Supervisor put up there before he simplified to \(320\).

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so you don't multiply 5*5

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So: \[ \begin{align*} \frac{40}{\sqrt{5}}\cdot\frac{40}{\sqrt{5}} &= \frac{40\cdot 40}{\sqrt{5} \cdot \sqrt{5}}\\ &= \frac{40^2}{\sqrt{5}^2}\\ &= \frac{1600}{5} \end{align*} \]
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