Question

1.Упростите:
а)17√2-3√32+√50
б)(5√3-√27)×√3
в)(1-√7)*2+2√7
2.Сравните:
а)1/5√75 и 3/8√48
б)1/2√20 и 5/6√45

Answer 1

1.
a)
$17 \sqrt{2} - 3 \sqrt{32} + \sqrt{50} = 17 \sqrt{2} - 3 \sqrt{ {4}^{2} \times 2 } + \sqrt{ {5}^{2} \times 2 } = 17 \sqrt{2} - 12 \sqrt{2} + 5 \sqrt{2} = 10 \sqrt{2}$
б)
$(5 \sqrt{3} - \sqrt{27} ) \times \sqrt{3} = (5 \sqrt{3} - \sqrt{ {3}^{2} \times 3 } ) \times \sqrt{3} = (5 \sqrt{3 } - 3 \sqrt{3} ) \times \sqrt{3} = 2 \sqrt{3} \times \sqrt{3} = 2 \times 3 = 6$
в)