Question

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

Answer 1

Answer:

• $4\sqrt{13}$

Step-by-step explanation:

• $\sqrt{52} -\sqrt{13} +\sqrt{117} =$
• $\sqrt{4*13} -\sqrt{13} +\sqrt{9*13} =$
• $2\sqrt{13}-\sqrt{13} +3\sqrt{13} =$
• $4\sqrt{13}$

Answer 2

Option A= $4 \sqrt{13}$

Solution:-

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

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

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

$= 4 \sqrt{13}$

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

Hope This Helps