Question

ex 8. introduceti factori sub radical​

Answer 1

Răspuns:

$a) - 4 \sqrt{3} = \sqrt{ {( - 4)}^{2} \times 3} = \sqrt{16 \times 3} = \sqrt{48} \\ b) - 5 \sqrt{2} = \sqrt{ {( - 5)}^{2} \times 2 } = \sqrt{25 \times 2} = \sqrt{50} \\ c) - 2 \sqrt{7} = \sqrt{( - {2) }^{2} \times 7 } = \sqrt{4 \times 7} = \sqrt{28} \\ d) - 3 \sqrt{5} = \sqrt{( - 3 )^{2} \times 5 } = \sqrt{9 \times 5} = \sqrt{45} \\ e) - 7 \sqrt{5} = \sqrt{( { - 7)}^{2} \times 5 } = \sqrt{49 \times 5} = \sqrt{245} \\ f) - 9 \sqrt{6} = \sqrt{( { - 9)}^{2} \times 6 } = \sqrt{81 \times 6} = \sqrt{486} \\ g) - 5 \sqrt{8} = \sqrt{( { - 5)}^{2} \times 8 } = \sqrt{25 \times 8} = \sqrt{200} \\ h) - 6 \sqrt{7} = \sqrt{( { - 6)}^{2} \times 7 } = \sqrt{36 \times 7} = \sqrt{252}$