Question

Calcule

a)√2+3√2-2√2=

b)2√3+3√27=

c)5√2.2√5=

d)(2√2)³=

Desde já agradeço!<3​

Answer 1

Explicação passo-a-passo:

A)

$\sqrt{2} + 3 \sqrt{2} - 2 \sqrt{2}$

$(1 + 3 - 2) \sqrt{2}$

$2 \sqrt{2}$

B)

$2 \sqrt{3} + 3 \sqrt{27}$

$2 \sqrt{3} + 3 \sqrt{3 {}^{3} }$

$2 \sqrt{3} + 3 \sqrt{3 {}^{2 + 1} }$

$2 \sqrt{3} + 3 \sqrt{3 {}^{2} \times 3 {}^{1} }$

$2 \sqrt{3} + 3 \sqrt{3 {}^{2} \times 3 }$

$2 \sqrt{3} + 3 \sqrt{3 {}^{2} } \sqrt{3}$

$2 \sqrt{3} + 3 \times 3 \sqrt{3}$

$2 \sqrt{3} + 9 \sqrt{3}$

$(2 + 9) \sqrt{3}$

$11 \sqrt{3}$

C)

$5 \sqrt{2} \times 2 \sqrt{5}$

$5 \times 2 \sqrt{2 \times 5}$

$10 \sqrt{10}$

D)

$(2 \sqrt{2} ) {}^{3}$

$8 \times 2 \sqrt{2}$

$16 \sqrt{2}$