anonymous
  • anonymous
More simplifying radicals?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[5\sqrt{320}\]
anonymous
  • anonymous
40*sqrt(5)
anonymous
  • anonymous
Can you please explain?

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anonymous
  • anonymous
320 is 5 * 64, sqrt of 64 is 8. 8 * 5 = 40
anonymous
  • anonymous
If it's not that easy for you try dividing the number under the root symbol by 4. And then again, if possible. For example: sqrt(320) = sqrt(4 * 80) = 2*sqrt(80) = 2*sqrt(4 * 20) = 4*sqrt(20) = 4*sqrt(4 * 5) = 8*sqrt(5)
Akshay_Budhkar
  • Akshay_Budhkar
\[5\sqrt{320}=5 \times \sqrt {64} \times \sqrt 5=5 \times 8 \times \sqrt5 = 40\sqrt5\]

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