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  • Find the square of the following numbers. (i) 32 (ii) 35 (iii) 86 (iv) 93 (v) 71 (vi) 46

Q.1 Find the square of the following numbers.

(i) 32

(ii) 35

(iii) 86

(iv) 93

(v) 71

(vi) 46

Answers (1)

best_answer

(i) 32^{2} = (30 + 2)^{2} = 30(30 + 2) + 2(30 + 2)  =  30(32) + 2(32) = 960 + 64 = 1024

 

(ii) 35^{2} = (30 + 5)^{2} = 30(30 + 5) + 5(30 + 5) = 30(35) + 5(35) = 1050 + 175 = 1225

 

(iii) 86^{2} = (80 + 6)^{2} = 80(80 + 6) + 6(80 + 6) = 80(86) + 6(86) = 6880 + 516 = 7396

 

(iv) 93^{2} = (90 + 3)^{2}  = 90(90 + 3) + 3(90 +3) = 90(93) + 3(93) = 8370 + 279 = 8649

 

(v)  71^{2} =  (70 + 1)^{2}  = 70(70 + 1) + 1(70 + 1) = 70(71) + 1(71)  =  4970 + 71 = 5041

 

(vi)   46^{2} = (40 + 6)^{2}= 40(40 + 6) + 6(40 + 6) = 40(46) + 6(46) = 1840 + 276 = 2110

Posted by

Devendra Khairwa

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