Question

А) √50-√8=
б) (5√2 - √18)•√2=
в)(√17 - 6)² + 12√17=
г)(√29 - 4)(√29+4)=
​

Answer 1

Пошаговое объяснение:

1) √25*2 - √4*2 = 5√2 - 2√2 = 3√2

2) (5√2 - √9*2)*√2 = (5√2 - 3√2)*√2 = 2√2*√2=2*2=4

3) (√17 - 6)² + 12√17=  17 - 12√17 + 36 + 12√17 = 17 + 36 = 53

4) (√29 - 4)(√29+4)= 29 + 4√29 - 4√29 - 16 = 13

Answer 2

Пошаговое объяснение:

a)

$\sqrt{50} - \sqrt{8} = \sqrt{25 \times 2} - \sqrt{4 \times 2} = \\ = \sqrt{25} \times \sqrt{2} - \sqrt{4} \times \sqrt{2} = \\ = \sqrt{2} ( \sqrt{25} - \sqrt{4} ) = \sqrt{2} (5 - 2) = 3 \sqrt{2}$

б)

$(5 \sqrt{2} - \sqrt{18} ) \sqrt{2} = 5 \sqrt{2} \times \sqrt{2} - \\ - \sqrt{18} \times \sqrt{2} = 5 \times 2 - \sqrt{9} \times \sqrt{2} \times \sqrt{2} \\ = 10 - \sqrt{9} \times 2 = 10 - 3 \times 2 = 10 - 6 = 4$

в)

$17 - 12 \sqrt{17} + 36 + 12 \sqrt{17} = 53$

Г.

$\sqrt{29}{}^{2} - {4}^{2} = 29 - 16 = 13$