Question

raiz de 108 + raiz de 27 - 2 raiz de 75 + 2 raiz de 3​

Answer 1

$\sqrt{108} + \sqrt{27} - 2 \sqrt{75} + 2 \sqrt{3} \\ \sqrt{6 {}^{2} } \sqrt{3} + \sqrt{3 {}^{2} } \sqrt{3} - 2 \sqrt{5 {}^{2} } \sqrt{3} + 2 \sqrt{3} \\ 6 \sqrt{3} + 3 \sqrt{3} - 2 \: . \:5 \sqrt{3} + 2 \sqrt{3} \\ 6 \sqrt{3} + 3 \sqrt{3} - 10 \sqrt{3} + 2 \sqrt{3} \\ (6 + 3 - 10 + 2) \sqrt{3} \\ (11 - 10) \sqrt{3} \\ 1 \sqrt{3} \\ \boxed{ \sqrt{3} }$

att. yrz

Answer 2

√3

√108+√27-2√75+2√3

6√3+3√3-2×5√3+2√3

6√3+3√3-10√3+2√3

√3

Fatorando

108|2

54|2

27|3

9|3

3|3 = √2².3².3 = 6√3

1

27|3

9|3

3|3 = √3².3 = 3√3

1

75|3

25|5

5|5 = √3.5² = 5√3

1

❤️ Feito com carinho ❤️

09/04/22