CBSE Class 8 - Patterns in Square Numbers Videos

• Sattvaj here Is it compulsory that the difference between the 2 bigger no.s in Pythagorean triplets is 2? 18,80 and 82, there is a difference of 2 between 80 and 82 so is it there in all no.s or there can be a smaller/bigger difference?    
• 1967 perfect square
• What will be the ones digits of the square of the number 1145
• Find the square of the number 82 using the property (a + b)² = a² + b² + 2ab.
• Find the square of the number (-25), using the identity (a + b)² = a² + b² + 2ab.
• Using the given pattern, find the missing numbers.  1² + 2² + 2² = 3² 2² + 3² + 6² = 7² 3² + 4² + __ = 13² 4² + 5² + 20² = __² 5² + 6² + __ = 31² 6² + __ + 42² = 43²
• Observe the following pattern and find the missing numbers. 11² = 121 101² = _ _ _ _ _ 10101² = 102030201 1010101² = 1_ _ _ _ _4_ _ _ _ _1 101010101² = _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
• Observe the following pattern and write the missing numbers. 1² = 1 11² = 121 111² = 12321 1111² = ________ 11111² = _________
• Observe the following pattern: 11 × 13 = (12 - 1) × (12 + 1) = 12² - 1 13 × 15 = (14 - 1) × (14 + 1) = 14² - 1 15 × 17 = (16 - 1) × (16 + 1) = 16² - 1 Using this pattern, find (i) 19 × 21 (ii) 29 × 31
• Observe the following pattern and find the missing numbers. 7² = 49 67² = 4489 667² = 444889 6667² = 44448889 66667² = ___________ 666667² = ____________ 

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