Module 24 Squares and Square Roots Class VIII Prepared by Bashuki Nath AECS Anupuram Finding the Square of a Number Module 24 Squares and Square Roots Class VIII Prepared by ID: 1014866
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1. SQUARES&SQUARE ROOTSModule 2/4Squares and Square RootsClass - VIIIPrepared by – Bashuki Nath, AECS, Anupuram
2. Finding the Square of a NumberModule 2/4Squares and Square RootsClass - VIIIPrepared by – Bashuki Nath, AECS, AnupuramSquares of small numbers like 1, 2, 3, 4, 5, 6, 7, ... etc. are easy to find.42 = 4 4 = 16
3. Now we will find the square of two digit numbers so quicklyModule 2/4Squares and Square RootsClass - VIIIPrepared by – Bashuki Nath, AECS, AnupuramSo 122 = 144
4. Finding the Square of a Number ending 5Module 2/4Squares and Square RootsClass - VIIIPrepared by – Bashuki Nath, AECS, Anupuram(a5)2 = a(a + 1) hundred + 25752 = (7 × 8) hundreds + 25 = 5600 + 25 = 5625
5. Pythagorean tripletsModule 2/4Squares and Square RootsClass - VIIIPrepared by – Bashuki Nath, AECS, AnupuramThe set of three numbers are called Pythagorean triplet if the sum of the squares of smaller numbers is equal to the square of largest number
6. Pythagorean tripletsModule 2/4Squares and Square RootsClass - VIIIPrepared by – Bashuki Nath, AECS, AnupuramGeneral form for Pythagorean triplet is 2m, m2 – 1 and m2 + 1
7. Pythagorean tripletsModule 2/4Squares and Square RootsClass - VIIIPrepared by – Bashuki Nath, AECS, AnupuramAll Pythagorean triplets may not be obtained using general form. For example another triplet 5, 12, 13 also has 12 as a member.
8. Pythagorean tripletsModule 2/4Squares and Square RootsClass - VIIIPrepared by – Bashuki Nath, AECS, AnupuramSome Pythagorean triplets are3, 4, 55, 12, 137, 24, 258, 15, 176, 8, 1020, 21, 2920, 99, 1019, 40, 41
9. Pythagorean tripletsModule 2/4Squares and Square RootsClass - VIIIPrepared by – Bashuki Nath, AECS, AnupuramIf you multiply any Pythagorean triplet with any constant, the resulting set will again the Pythagorean triplet.(3, 4, 5) is a Pythagorean triplet(3, 4, 5) 2 = (6, 8, 10) is also a Pythagorean triplet(3, 4, 5) 3 = (9, 12, 15) is also a Pythagorean triplet(3, 4, 5) 7 = (21, 28, 35) is also a Pythagorean triplet
10. Module 2/4Squares and Square RootsClass - VIIIPrepared by – Bashuki Nath, AECS, AnupuramTHANK YOU