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Question

Evaluate after rationalising the denominator of (25/√40-√80), it being given that √5=2.236 and √10=3.162.


Solution

25/√40-√80
=25/2√10-4√5
=25/2(√10-2√5)
=25(√10+2√5)/2(√10-2√5)(√10+2√5)
=25(√10+2√5)/2(10-20)
=-25(√10+2√5)/20
=-5(√10+2√5)/4
=-5(3.162+2×2.236)/4
=-5(3.162+4.472)/4
=-5×7.634/4
=-5×1.9085
=-9.5425

Mathematics

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