Question

resolva e simplifique a expressao: √3 + √24 * ⁴√4 o resultado é: 5√3

Answer 1

$\sqrt{3} + \sqrt{24} . \sqrt[4]{4} = \sqrt{3} + \sqrt{24} . \sqrt[4]{2 ^{2} } =\sqrt{3} + \sqrt{24} . \sqrt[2]{2} = \sqrt{3} + \sqrt{48} \\ \sqrt{3} + \sqrt{ 2^{4}.3 } = \sqrt{3} + 2^{2} . \sqrt{3} = \sqrt{3} + 4 . \sqrt{3} =5. \sqrt{3}$

Espero ter ajudado

Answer 2

Luana,
Vamos passo a passo

             $\sqrt{3} + \sqrt{24} . \sqrt[4]{4} \\ \\ = \sqrt{3} + \sqrt{3} . 8^{ \frac{1}{2} } . 4^{ \frac{1}{4} } \\ \\ = \sqrt{3} .(2^3) ^{ \frac{1}{2} } .(2^2) ^{ \frac{1}{4} } \\ \\ = \sqrt{3} + \sqrt{3} . 2^{ \frac{3}{2} + \frac{2}{4} } \\ \\ = \sqrt{3} + \sqrt{3}. 2^{ \frac{3}{2}+ \frac{1}{2} } \\ \\ = \sqrt{3} + 2^{ \frac{4}{2} } \sqrt{3} \\ \\ = \sqrt{3} +4 \sqrt{3} \\ \\ =5 \sqrt{3}$