Back to Course

JSS2: MATHEMATICS - 1ST TERM

0% Complete
0/0 Steps
  1. Properties of Whole Numbers I | Week 1
    4Topics
    |
    2 Quizzes
  2. Properties of Whole Numbers II | Week 2
    4Topics
    |
    2 Quizzes
  3. Properties of Whole Numbers III | Week 3
    4Topics
    |
    1 Quiz
  4. Indices | Week 4
    2Topics
    |
    1 Quiz
  5. Laws of Indices | Week 5
    5Topics
    |
    1 Quiz
  6. Whole Numbers & Decimal Numbers | Week 6
    4Topics
    |
    1 Quiz
  7. Standard Form | Week 7
    3Topics
    |
    1 Quiz
  8. Significant Figures (S.F) | Week 8
    4Topics
    |
    1 Quiz
  9. Fractions, Ratios, Proportions & Percentages I | Week 9
    6Topics
    |
    1 Quiz
  10. Fractions, Ratios, Proportions & Percentages II | Week 10
    4Topics
    |
    1 Quiz
  11. Fractions, Ratios, Proportions & Percentages III | Week 11
    3Topics
    |
    1 Quiz
  12. Approximation & Estimation | Week 12
    1Topic
    |
    1 Quiz
Lesson 3, Topic 4
In Progress

Evaluation Questions – Square Root of Fractions

Lesson Progress
0% Complete

Example

a. \( \sqrt {\frac{25}{64}}\: \div\: \sqrt {\frac{48}{108}} \)

b. \( \sqrt {\frac{1}{36}} \:\div \:\sqrt {\frac{4}{16}} \)

c. \( \sqrt {\frac{36 \: \times \: 98}{32}} \)

Solution

a. \( \sqrt {\frac{25}{64}}\: \div\: \sqrt {\frac{48}{108}} \\= \sqrt {\frac{5 \: \times \: 5}{8 \: \times \: 8}}\: \div\: \sqrt {\frac{3 \: \times \: 16 }{3 \: \times \: 36}} \\ = \sqrt {\frac{5 \: \times \: 5}{8 \: \times \: 8}}\: \div\: \sqrt {\frac{16 }{36}} \\ =\sqrt {\frac{5 \: \times \: 5}{8 \: \times \: 8}}\: \div\: \sqrt {\frac{4 \: \times \: 4 }{6 \: \times \: 6}}\\ = \frac{5}{8} \: \div \: \frac{4}{6}\\ = \frac{5}{8} \: \times \: \frac{6}{4} \\= \frac{30}{32} \\=\frac{15}{16} \)

b. \( \sqrt {\frac{1}{36}} \:\div \: \sqrt {\frac{4}{16}}\\ = \frac{1}{6} \: \div \: \frac{2}{4}\\ = \frac{1}{6} \: \times \: \frac{4}{2} \\=\frac{1}{3} \)

c. \( \sqrt {\frac{36 \: \times \: 98}{32}} \\= \sqrt {\frac{36 \: \times \: 2 \; \times \: 49}{16 \: \times \: 2}} \\= \sqrt {\frac{36 \: \times \: 49}{16}}\\ = \frac{6 \: \times \: 7}{4}\\ = \frac{3 \: \times \: 7}{2} \\= \frac{21}{2} \\ = \scriptsize 10 \normalsize \frac{1}{2}\)

Evaluation Questions

A. Find the value of the following:

1. \( \sqrt{ \frac{81}{64}} \)

2. \( \sqrt{ \frac{18}{200}} \)

3. \( \sqrt {\frac{72}{450}} \)

4. \( \sqrt {\frac{1}{36} }\)

5. \( \sqrt {\frac{4}{100}} \)

6. \( \sqrt{ \scriptsize 3 \frac{1}{16}} \)

7. \( \sqrt{ \scriptsize 6 \frac{1}{4}} \)

8. \( \sqrt{ \scriptsize 7 \frac{1}{9}} \)

View Answers

B. Evaluate the following:

1. \( \sqrt{\frac{4}{100} \: \times \: \frac{18}{8}} \)

2. \( \sqrt{\frac{16}{25} \: \div \: \frac{25}{64}} \)

3. \( \sqrt{\frac{18}{8} \: \div \: \frac{4}{16}} \)

4. \(\scriptsize \sqrt{0.5625} \)

5. \(\scriptsize \sqrt{2.25} \)

6. \(\scriptsize \sqrt{48 \: \div \: 3} \)

7. \(\scriptsize \sqrt{0.0049} \)

8. \(\scriptsize \sqrt{0.0001} \)

View Answers

Answers

1. \( \scriptsize 1 \frac{1}{8} \)

2. \(\frac{3}{10} \)

3. \(\frac{2}{3} \)

4. \(\frac{1}{6} \)

5. \(\frac{1}{5} \)

6.  \( \scriptsize 1 \frac{3}{4} \)

7.  \( \scriptsize 2 \frac{1}{2} \)

8.  \( \scriptsize 2 \frac{2}{3} \)

Answers

1. \(\frac{3}{10} \)

2. \(\frac{32}{25} = \scriptsize 1 \frac{7}{25} \)

3. 3

4. \(\frac{3}{4} \)

5. \(\frac{3}{2} \)

6.  4

7.  \(\frac{7}{100} \)

8. \(\frac{1}{100} \)

back-to-top
error: