if√5=2.236 find the value of 2/√5+√3
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Step-by-step explanatio
Given √5=2.236
2/√5+√3
={2/(√5+√3)}×{(√5-√3)/(√5-√3)}
=2√5-2√3/(√5)^2-(√3)^2
=(2×2.236-2×1.732)/5-3
=(4.472-3.464)/2
=1.008/2
=0.504
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√5=2.236 (given)
solution:
2/√5 + √3
2+√15
_________ (. √3×√5=√15)
√5
2+3.872
--------------------. ( √15 = 3.872)
2.236
5.872
__________. point to point cancel
2.236
=2.626
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