Question

calculeaza √12+√75=
√162-√200=
√125+√45-8√5=
​

Answer 1

Salutare

Enunțul problemei:

Calculeaza:

√12 + √75=

√162 - √200=

√125 + √45 - 8√5=

$\sqrt{12} + \sqrt{75} = \sqrt{4 * 3} + \sqrt{25*3} = 2\sqrt{3} +5\sqrt{3} = 7\sqrt{3}$

$\sqrt{162} - \sqrt{200} =\sqrt{81*2} - \sqrt{100*2} = 9\sqrt{2} -10\sqrt{2} = -\sqrt{2}$

$\sqrt{125} + \sqrt{45} - 8\sqrt{5} = \sqrt{25*5} + \sqrt{9*5} - 8\sqrt{5} = 5\sqrt{5} +3\sqrt{5} - 8\sqrt{5} = 8\sqrt{5} - 8\sqrt{5} = 0$

Succes!