Question

Quanto é:
a) √2+√32
b) 5√3+√12

Answer 1

Explicação passo-a-passo:

a) √2+√32=√2+4√2= 3√2

b) 5√3+√12=5√3+2√3= 7√3

Answer 2

a -

$\sqrt{2}+\sqrt{32}\\\sqrt{2}+\sqrt{16\cdot2}\\\sqrt{2}+\sqrt{16}\cdot\sqrt{2}\\\sqrt{2}+4\cdot\sqrt{2}\\(1+4)\cdot\sqrt{2}\\5\cdot\sqrt{2}$

b -

$5\cdot\sqrt{3}+\sqrt{12}\\5\cdot\sqrt{3}+\sqrt{4.3}\\5\cdot\sqrt{3}+\sqrt{4}\cdot\sqrt{3}\\5\cdot\sqrt{3}+2\cdot\sqrt{3}\\(5+2)\cdot\sqrt{3}\\7\cdot\sqrt{3}$

                 -x-

$\sqrt{x\cdot y}=\sqrt{x}\cdot\sqrt{y}$

Dúvidas só perguntar!