Question

Find the value of $x$ which satisfies the equation $\sqrt{x}\times 2\sqrt{13}=2\sqrt{39}$

• A. 1
• B. 3
• C. 9
• D. 13
• E. 26

Answer 1

Answer: (B)

3

Given, $\sqrt{x}\times 2\sqrt{13}=2\sqrt{39}$

$\Rightarrow \sqrt{x}\times \left(2\sqrt{13}\right)=2\sqrt{13}\times \sqrt{3}$

$\Rightarrow \sqrt{x}=\sqrt{3}$

Squaring both sides give us $x=3$