anonymous
  • anonymous
rationalize denominator 40 divided by sq. 5 * 40 divided by sq. 5
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Is this \(\frac{40}{\sqrt{5}}\cdot\frac{40}{\sqrt{5}}\)?
anonymous
  • anonymous
yes
anonymous
  • anonymous
40 / (sq. (5 * 40)) / sq.(5)? 40 * sq.(5) / (sq. (5 * 40) 40 / sq.(40) sq.(40) / 1

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anonymous
  • anonymous
Ah: 40 * 40 / 5 1600 / 5 320
anonymous
  • anonymous
In 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
  • anonymous
That is not the way I did it but I came up with 5 over 5 which is 1
anonymous
  • anonymous
Did you multiply the entire thing by \(\frac{\sqrt{5}}{\sqrt{5}}\)?
anonymous
  • anonymous
no I simplified it came up with the common denominator I had 40 over 5 and then simplified it
anonymous
  • anonymous
How did you simplify it?
anonymous
  • anonymous
I see what I did wrong the answer is just 5
anonymous
  • anonymous
If 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
  • anonymous
so you don't multiply 5*5
anonymous
  • anonymous
So: \[ \begin{align*} \frac{40}{\sqrt{5}}\cdot\frac{40}{\sqrt{5}} &= \frac{40\cdot 40}{\sqrt{5} \cdot \sqrt{5}}\\ &= \frac{40^2}{\sqrt{5}^2}\\ &= \frac{1600}{5} \end{align*} \]
anonymous
  • anonymous
okay thank you

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