Examples with solutions for Square Root Quotient Property: Solving the equation

Exercise #1

Solve the following equation:

644=2x \frac{\sqrt{64}}{\sqrt{4}}=2x

Video Solution

Answer

2

Exercise #2

Solve for x:

6x=36 \sqrt{6}x=\sqrt{36}

Video Solution

Answer

6 \sqrt{6}

Exercise #3

Solve the following equation:

90x=3 \frac{\sqrt{90}}{\sqrt{x}}=3

Video Solution

Answer

10

Exercise #4

Solve the following equation:

50x=5 \frac{\sqrt{50}}{\sqrt{x}}=5

Video Solution

Answer

Answers b and c

Exercise #5

Solve for x:

205x=225 \frac{\sqrt{20}\cdot\sqrt{5}}{x}=2\cdot\sqrt{25}

Video Solution

Answer

1 1

Exercise #6

Solve for x:

8422=x2 \frac{\sqrt{8}\cdot\sqrt{4}\cdot\sqrt{2}}{\sqrt{2}}=\sqrt{x^2}

Video Solution

Answer

x=32 x=\sqrt{32}

Exercise #7

Solve the following equation:

4510=x \frac{\sqrt{4}\cdot\sqrt{5}}{\sqrt{10}}=x

Video Solution

Answer

2 \sqrt{2}

Exercise #8

Solve for x:

4525=2x \frac{\sqrt{4}\cdot\sqrt{5}}{\sqrt{25}}=2x

Video Solution

Answer

x=2010 x=\frac{\sqrt{20}}{10}

Exercise #9

Solve for x:

2416=x8 \frac{\sqrt{2}\cdot\sqrt{4}}{\sqrt{16}}=\frac{x}{\sqrt{8}}

Video Solution

Answer

2 2