If √5= 2.236 , √10= 3.162 find the value of 15/√10+√20+√40-√5-√80
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15/√10+√20+√40-√5-√80=
15/√10+2√5+2√10-√5-4√15
=15/√10+√5-2√15
=(15+√50+2√150)/√10
=(15+√10(√5)+2(√3)(√10)(√5))/√10
=(15+(2.236)(3.162)+2(√3)(2.236)(3.162))/3.162
=(15+7.070232+14.140464(√3))/3.162
=(22.070232+14.140464(1.7ap))/3.162
=(22.070232+24.0387888)/3.162
=46.1090208/3.162
=14.582233017
15/√10+2√5+2√10-√5-4√15
=15/√10+√5-2√15
=(15+√50+2√150)/√10
=(15+√10(√5)+2(√3)(√10)(√5))/√10
=(15+(2.236)(3.162)+2(√3)(2.236)(3.162))/3.162
=(15+7.070232+14.140464(√3))/3.162
=(22.070232+14.140464(1.7ap))/3.162
=(22.070232+24.0387888)/3.162
=46.1090208/3.162
=14.582233017
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