Question

4. Să se introducă factorii sub radical: a) 3√5, 23/2, 4√3, -2√5, -3³radical 4;​

Answer 1

$3 \sqrt{5} = \sqrt{3 {}^{2} \times 5} = \sqrt{9 \times 5} = \sqrt{45} \\ 23 \sqrt{2} = \sqrt{23 {}^{2} \times 2} = \sqrt{529 \times 2} = \sqrt{1058} \\ 4 \sqrt{3} = \sqrt{4 {}^{2} \times 3 } = \sqrt{16 \times 3} = \sqrt{48} \\ - 2 \sqrt{5} = - \sqrt{2 {}^{2} \times 5} = - \sqrt{4 \times 5} = - \sqrt{20} \\ - 3 {}^{3} \sqrt{4} = - \sqrt{(3 {}^{3} ){}^{2} \times 4} = - \sqrt{3 {}^{6} \times 4} = - \sqrt{2916} = - 54$