Question

Упростите выражения: (√5-2)²; (4√3-√2)*(4√3+√2)

Answer 1

Ответ:

1)

$9 - 4 \sqrt{5}$

2)

$46$

Объяснение:

1)

$( \sqrt{5} - 2) {}^{2} = \\ = ( \sqrt{5} ) {}^{2} - 2 \times 2 \sqrt{5} + 2 {}^{2} = \\ = 5 - 4 \sqrt{5} + 4 = \\ = 9 - 4 \sqrt{5}$

2)

$(4 \sqrt{3} - \sqrt{2} ) \times (4 \sqrt{3} + \\ + \sqrt{2} ) = \\ = 4 \times 4 \times \sqrt{3} \times \sqrt{3} + 4 \times \sqrt{2} \times \sqrt{2} - 4 \times \sqrt{3} \times \sqrt{3} - \sqrt{2} \times \sqrt{2} = \\ = 16 \times 3 - 2 = \\ = 48 - 2 = 46$