carolmiller90 carolmiller90
  • 20-01-2019
  • Mathematics
contestada

can somebody help me simplify this given radical to the lowest form√112a^2 and try to explain it to me in layman's terms

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jdoe0001 jdoe0001
  • 20-01-2019

[tex]\bf \sqrt{112a^2}~~ \begin{cases} 112=2\cdot 2\cdot 2\cdot 2\cdot 7\\ \qquad 2^2\cdot 2^2\cdot 7\\ \qquad (2^2)^2\cdot 7 \end{cases}\sqrt{(2^2)^2\cdot 7\cdot a^2}\implies 2^2a\sqrt{7}\implies 4a\sqrt{7}[/tex]

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