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mario62 [17]
3 years ago
14

What is the exact value for the expression V52 - V13 + V117 ? Simplify if possible. (5 points)

Mathematics
2 answers:
Mrac [35]3 years ago
6 0

Answer:

  • 4\sqrt{13}

Step-by-step explanation:

  • \sqrt{52} -\sqrt{13} +\sqrt{117} =
  • \sqrt{4*13} -\sqrt{13} +\sqrt{9*13} =
  • 2\sqrt{13}-\sqrt{13}  +3\sqrt{13} =
  • 4\sqrt{13}
Elena-2011 [213]3 years ago
4 0

Option A= 4 \sqrt{13}

Solution:-

\sqrt{52}  -  \sqrt{13}  =  \sqrt{117}

=\sqrt{52}   -   \sqrt{13}  +  \sqrt{117}  \\  \\

=\sqrt{4 \times 13}  -  \sqrt{13}  +  \sqrt{9 \times 13}  \\  \\ = 2  \sqrt{13}  -  \sqrt{13}  + 3 \sqrt{13}

= 4 \sqrt{13}

\therefore  \mathfrak{option \: A = 4 \sqrt{13} }

<h3>Hope This Helps</h3>
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