Question

scoate factorii de sub radical:
$\sqrt{75}$
$\sqrt{32}$
$\sqrt{72}$
$\sqrt{192}$
$\sqrt{150}$
$\sqrt{388}$
$\sqrt{588}$
$\sqrt{1875}$
​

Answer 1

Răspuns:

5√3

4√2

6√2

8√3

5√6

2√97

14√3

25√3

Answer 2

Explicație pas cu pas:

$\sqrt{75} = \sqrt{3 \times {5}^{2} } = 5 \sqrt{3}$

$\sqrt{32} = \sqrt{ {2}^{5} } = 4 \sqrt{2}$

$\sqrt{72} = \sqrt{ {2}^{3} \times {3}^{2} } = 6 \sqrt{2}$

$\sqrt{192} = \sqrt{ {2}^{6} \times 3} = 8 \sqrt{3}$

$\sqrt{150} = \sqrt{2 \times 3 \times {5}^{2} } = 5 \sqrt{6}$

$\sqrt{388} = \sqrt{ {2}^{2} \times 97} = 2 \sqrt{97}$

$\sqrt{588} = \sqrt{ {2}^{2} \times 3 \times {7}^{2} } = 14 \sqrt{3}$

$\sqrt{1875} = \sqrt{3 \times {5}^{4} } = 25 \sqrt{3}$