bubbles2414 bubbles2414
  • 13-11-2017
  • Mathematics
contestada

What is the simplified form of square root of 400x exponent 100

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babylexlitoz666t
babylexlitoz666t babylexlitoz666t
  • 13-11-2017
Simplified root is 20x exponent of 50. :)
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lisboa lisboa
  • 16-12-2018

Answer:

[tex]20x^{50}[/tex]

Step-by-step explanation:

WE need to find the simplified form of

[tex]\sqrt{400x^{100}}[/tex]

We take square root separately

[tex]\sqrt{400}=\sqrt{20*20}=20[/tex]

We know x^(m+n) x^m * x^n

x^100 can be written as x^50+50 = x^50 * x^50

[tex]\sqrt{x^{100}}=\sqrt{x^{50}*x^{50}}=x^{50}[/tex]

so, [tex]\sqrt{400x^{100}}= 20x^{50}[/tex]

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