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JSS2: MATHEMATICS - 1ST TERM

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  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 2, Topic 4
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Addition and Subtraction of Square Roots

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To add or subtract numbers inside a square root sign, deal with the arithmetic operation first before finding the square root of the answer. 

Exampe 1

Calculate \(\scriptsize \sqrt{3 + 6}\)

Add the two numbers \(\scriptsize \sqrt{3 + 6} = \sqrt{9}\)

Then find the square root.

Calculate \(\scriptsize \sqrt{9} = 3\)

This is the correct way of solving it

\(\scriptsize \sqrt{3 + 6} = \sqrt{9} = 3\)

Example 2

Calculate

a. \(\scriptsize \sqrt{24 + 12} \)

b. \(\scriptsize \sqrt{26 + 74} \)

c. \(\scriptsize \sqrt{102 \;-\; 38} \)

d. \(\scriptsize \sqrt{24 + 50 \;- \;38} \)

Solution

a. \(\scriptsize \sqrt{24 \:+ \: 12} \\ \scriptsize = \sqrt{36}\\ \scriptsize = 3\)

b. \(\scriptsize \sqrt{26 \:+ \: 74} \\ \scriptsize = \sqrt{100}\\ \scriptsize = 10\)

c. \(\scriptsize \sqrt{102\:- \:38} \\ \scriptsize = \sqrt{64} \\ \scriptsize = 8\)

d. \(\scriptsize \sqrt{24 \:+ \:50 \:- \:38} \\ \scriptsize = \sqrt{74\:- \:38} \\ \scriptsize= \sqrt{36} \\ \scriptsize = 6\)

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