Question

Scoateți factorii de sub radical... - radical din 432.

Answer 1

$\sqrt{432} = \sqrt{2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3} = \sqrt{(2 \times 2) \times (2 \times 2) \times (3 \times 3) \times 3} = \sqrt{ {2}^{2} \times {2}^{2} \times {3}^{2} \times 3 } = (2 \times 2 \times 3) \sqrt{3} = 12 \sqrt{3}$

Answer 2

$\sqrt{432} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3} \\ = \sqrt{(2 \times 2) \times (2 \times 2) \times (3 \times 3) \times 3} \\ = \sqrt{2 {}^{2} } \times {2}^{2} \times 3 {}^{2} \times 3 \\ = (2 \times 2 \times3) \sqrt{3} \\ = 12 \sqrt{3} \\ \\ \\ sper \: ca \: te \: am \: ajutat.$