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JSS2: MATHEMATICS - 1ST TERM

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



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Topic Content:

  • Square Root of Numbers

Given the square of these numbers find the square root:

a. 4 × 4  =  16, The square root of 16 is  written as  \(\scriptsize \sqrt{16}= 4\)
b. 5 × 5  =  25, The square root of 25, \(\scriptsize \sqrt{25}= 5\)
c. 3 × 3  = 9, The square root of 9 ,   \(\scriptsize \sqrt{9}= 3\)

This implies that the square root of a given number is that number that multiplies itself to give the given number.

Similarly,

d. -4 × -4 = 16, The square root of \(\scriptsize \sqrt{16}= 4\)
e. -5 × -5  =  25,   The square root of 25, \(\scriptsize \sqrt{25}= 5\)

In general, a number has two square roots: one negative square root and one positive square root.

e.g. \(\scriptsize \sqrt{16} \\ \scriptsize = \sqrt{4 \: \times \: 4}\\ \scriptsize = \sqrt{-4 \: \times \: -4} \\ \scriptsize = \pm{4}\)

\(\scriptsize \sqrt{25} \\ \scriptsize = \sqrt{5 \: \times \: 5}\\ \scriptsize = \sqrt{-5 \: \times \: -5}\\ \scriptsize = \pm{5} \)

Worked Example 2.2.1:

Find the square root of 

a. 144
b. 81
c. 324
d. 900

Solution

a. Square root of 144 = \(\scriptsize \sqrt{144}\)

Step 1: Express 144 as product of prime factors. 

Screenshot 2023 08 20 at 04.13.30

 

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