Question

Упростить выражение.1)2√18 + 3√8 + 3√32 - √50 = ...2)3√20 - √45 + 3√18 + √72 - √80 = ...

Answer 1

1) 2*3/2+3*2/2+3*4/2-5/2=6/2+6/2+12/2-5/2=19/2 /-корень

Answer 2

1. 2√18 + 3√8 + 3√32 - √50 = 2√(92) + 3√(42) + 3√(162) - √(252) = 2√9√2 + 3√4√2 + 3√16√2 - √25√2 = 23√2 + 32√2 + 3*4√2 - 5√2 = 6√2 + 6√2 + 12√2 - 5√2 = 19√2

2. 3√20 - √45 + 3√18 + √72 - √80 = 3√(45) - √(95) + 3√(92) + √(362) - √(16*5) = 3√4√5 - √9√5 + 3√9√2 + 6√2 - 4√5 = 6√5 - 3√5 + 9√2 + 6√2 - 4√5 = 12√2 + 3√5