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Question

Question 3
If 2=1.414 and 3=1.732, then find the value of 43322+333+22

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Solution

We have, 43322+333+22
=4(33+22)+3(3322)(3322)(33+22)=123+82+9362(33)2(22)2
[Using identity, (a+b)(ab)=a2b2]
=213+22278=2113+2219
=21×1.732+2×1.41419 [Put 2=1.414 and 3=1.732]
=36.372+2.82819=39.219=2.0631=2.063

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