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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 Progress
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Given the square of these numbers find the square root:

a. 4  x 4  =  16, The square root of 16 is  written as  \(\scriptsize \sqrt{16}= 4\)

 b. 5 x 5  =  25, The square root of 25, \(\scriptsize \sqrt{25}= 5\)

 c. 3 x 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 x -4 = 16, The square root of \(\scriptsize \sqrt{16}= 4\)

 e. -5 x -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.\(\scriptsize \sqrt{16}= \sqrt{4 \; \times \; 4}= \sqrt{-4 \; \times \; -4}\)

=\(\scriptsize \pm{4}\)

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

=\(\scriptsize \pm{5}\)

Example

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. 

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Step 2: 

144   = (2 x 2) x (2x 2) x (3 x 3)

\(\scriptsize \sqrt{144}\)   = 2 x 2 x 3

\(\scriptsize \sqrt{144}\)   = 12

b. Square  root of 81  =   \(\scriptsize \sqrt{81}\) 

Step 1: 

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 =  81 = 3 x 3 x 3 x 3 

Step 2:

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\(\scriptsize \sqrt{81}\)  = 3 x 3 = 9

c. Square root of  324 =  \(\scriptsize \sqrt{324}\)

Step 1:

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324 = 2 x 2 x 3 x 3 x 3 x 3

Step 2:

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\(\scriptsize \sqrt{324}\) = 2 x 3 x 3 = 18

d. Square root of 900   =  \(\scriptsize \sqrt{900}\)  

Step 1

Screen Shot 2020 11 21 at 11.27.38 PM

Step 2:

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\(\scriptsize \sqrt{900}\)  = 2 x 3 x 5

= 30

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