Examples with solutions for Square Root Quotient Property: Number of terms

Exercise #1

Solve the following exercise:

24816= \sqrt{\frac{2}{4}}\cdot\sqrt{\frac{8}{16}}=

Video Solution

Answer

12 \frac{1}{2}

Exercise #2

Solve the following exercise:

1052554= \frac{\sqrt{10}\cdot\sqrt{5}\cdot\sqrt{2}}{\sqrt{5}\cdot\sqrt{5}\cdot\sqrt{4}}=

Video Solution

Answer

1 1

Exercise #3

Solve the following exercise:

246= \sqrt{\frac{2}{4}}\cdot\sqrt{6}=

Video Solution

Answer

3 \sqrt{3}

Exercise #4

Solve the following exercise:

124322= \frac{\sqrt{12}\cdot\sqrt{4}\cdot\sqrt{3}}{\sqrt{2}\cdot\sqrt{2}}=

Video Solution

Answer

6

Exercise #5

Solve the following exercise:

81499= \frac{\sqrt{81}\cdot\sqrt{4}}{\sqrt{9}\cdot\sqrt{9}}=

Video Solution

Answer

2 2

Exercise #6

Solve the following exercise:

3623+255= \frac{\sqrt{36}}{\sqrt{2}\cdot\sqrt{3}}+\frac{\sqrt{25}}{5}=

Video Solution

Answer

6+1 \sqrt{6}+1

Exercise #7

Solve the following exercise:

82166424= \frac{\sqrt{8}}{2\cdot\sqrt{16}}\cdot\frac{\sqrt{64}}{\sqrt{2}\cdot\sqrt{4}}=

Video Solution

Answer

1 1

Exercise #8

Solve the following exercise:

2864+44416= \frac{\sqrt{2}\cdot\sqrt{8}}{\sqrt{64}}+\frac{\sqrt{4}\cdot\sqrt{4}}{\sqrt{4}\cdot\sqrt{16}}=

Video Solution

Answer

1 1

Exercise #9

Solve the following exercise:

494+936= \sqrt{\frac{49}{4}}+\sqrt{\frac{9}{36}}=

Video Solution

Answer

4

Exercise #10

Solve the following exercise:

24144+16= \frac{\sqrt{2}\cdot\sqrt{4}}{\sqrt{144}+\sqrt{16}}=

Video Solution

Answer

28 \frac{\sqrt{2}}{8}

Exercise #11

Solve the following exercise:

32392= \sqrt{\frac{3}{2}}\cdot\sqrt{3}\cdot\sqrt{\frac{9}{2}}=

Video Solution

Answer

412 4\frac{1}{2}

Exercise #12

Solve the following exercise:

42+63= \sqrt{\frac{4}{2}}+\sqrt{\frac{6}{3}}=

Video Solution

Answer

22 2\sqrt{2}