Examples with solutions for Square Root Quotient Property: Applying the formula

Exercise #1

Solve the following exercise:

22525= \sqrt{\frac{225}{25}}=

Video Solution

Step-by-Step Solution

Let's simplify the expression. First, we'll reduce the fraction under the square root, then we'll calculate the result of the root:

22525=93 \sqrt{\frac{225}{25}}= \\ \sqrt{9}\\ \boxed{3} Therefore, the correct answer is option B.

Answer

3

Exercise #2

Choose the expression that is equal to the following:

a:b \sqrt{a}:\sqrt{b}

Video Solution

Answer

a:b \sqrt{a:b}

Exercise #3

Solve the following exercise:

24= \sqrt{\frac{2}{4}}=

Video Solution

Answer

12 \frac{1}{\sqrt{2}}

Exercise #4

Solve the following exercise:

369= \frac{\sqrt{36}}{\sqrt{9}}=

Video Solution

Answer

2 2

Exercise #5

Complete the following exercise:

136= \sqrt{\frac{1}{36}}=

Video Solution

Answer

16 \frac{1}{6}

Exercise #6

Solve the following exercise:

497= \frac{\sqrt{49}}{7}=

Video Solution

Answer

1 1

Exercise #7

Solve the following exercise:

14436= \sqrt{\frac{144}{36}}=

Video Solution

Answer

2 2

Exercise #8

Solve the following exercise:

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

Video Solution

Answer

4

Exercise #9

Solve the following exercise:

1444= \frac{\sqrt{144}}{\sqrt{4}}=

Video Solution

Answer

6 6

Exercise #10

Solve the following exercise:

102= \frac{\sqrt{10}}{\sqrt{2}}=

Video Solution

Answer

5 \sqrt{5}

Exercise #11

Solve the following exercise:

6416= \frac{\sqrt{64}}{\sqrt{16}}=

Video Solution

Answer

2

Exercise #12

Solve the following exercise:

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

Video Solution

Answer

4

Exercise #13

Complete the following exercise:

936= \sqrt{\frac{9}{36}}=

Video Solution

Answer

12 \frac{1}{2}

Exercise #14

Complete the following exercise:

10025= \sqrt{\frac{100}{25}}=

Video Solution

Answer

2

Exercise #15

Complete the following exercise:

819= \sqrt{\frac{81}{9}}=

Video Solution

Answer

3

Exercise #16

Solve the following exercise:

1004= \sqrt{\frac{100}{4}}=

Video Solution

Answer

5

Exercise #17

Complete the following exercise:

19649= \sqrt{\frac{196}{49}}=

Video Solution

Answer

2

Exercise #18

Complete the following exercise:

1964= \sqrt{\frac{196}{4}}=

Video Solution

Answer

7

Exercise #19

Complete the following exercise:

12111= \frac{\sqrt{121}}{11}=

Video Solution

Answer

1