Question

2). Упростните выражение:
√63a+√112a-√175a​

Answer 1

$63 = 3 × 3 × 7 = 9 × 7,$

$112 = 2 × 2 × 2 × 2 × 7 = 16 × 7,$

$175 = 5 × 5 × 7 = 25 × 7.$

$\sqrt{63} \times a + \sqrt{112} \times a - \sqrt{175} \times a = \sqrt{9 \times 7} \times a + \sqrt{16 \times 7} \times a - \sqrt{25 \times 7} \times a = \sqrt{9} \times \sqrt{7} \times a + \sqrt{16} \times \sqrt{7} \times a - \sqrt{25} \times \sqrt{7} \times a = 3a \sqrt{7} + 4a \sqrt{7} - 5a \sqrt{7} = \sqrt{7} \times (3a + 4a - 5a) = \sqrt{7} \times 2a = 2a \sqrt{7}$