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Question

Question 2
Simplify:
7310+3256+53215+32

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Solution

We have, 7310+3256+53215+32.....(i)
Now, 7310+3×103103=73021(10)2(3)2 [by rationalisation]
[Using identity, (ab)(a+b)=a2b2]
73021103=7(303)7=303256+5=256+5×(65)65 [by rationalisation]
=23010(6)2(5)2 [Using identity ,(ab)(a+b)=a2b2]
=2301065=23010
and 3215+32=3215+32×15321532 [by rationlisation]
=3(306)1518=3(306)3=(30+6)=630
From eq.(i). 7310+3256+53215+32
=(303)(23010)(630)=303230+106+30=230230+109=1

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