(√15 + 10) * 2√5 - 5√12 =
= (√(3*5) + 10) * 2√5 - 5√12 =
= 2√5*√(3*5) + 10 * 2√5 - 5√12 =
= 2√5*√3*√5 + 20√5 - 5√(3*4) =
= 2*5√3 + 20√5 - 5*2√3 =
= 10√3 + 20√5 - 10√3 = 20√5
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(√15 + 10) * 2√5 - 5√12 =
= (√(3*5) + 10) * 2√5 - 5√12 =
= 2√5*√(3*5) + 10 * 2√5 - 5√12 =
= 2√5*√3*√5 + 20√5 - 5√(3*4) =
= 2*5√3 + 20√5 - 5*2√3 =
= 10√3 + 20√5 - 10√3 = 20√5