Question

9) Determine o valor das raízes

a) √49 + √16 =

b) 3√5 + √5 - 6√5=

c) √50 + √18 - √8 =

d) 2√27 -5 √12 =

e) 4√63 - √7=​​

Answer 1

Resposta:

a) $11$

b) $-2\sqrt{5}$

c) $6\sqrt{2}$

d) $-4\sqrt{3}$

e) $11\sqrt{7}$

Explicação passo a passo:

a)

$\sqrt{49}=7\\ \sqrt{16}=4\\\\ 7+4=11$

b)

$3\sqrt{5} +\sqrt{5}=4\sqrt{5} \\4 \sqrt{5} -6\sqrt{5} = -2\sqrt{5}$

c)

$\sqrt{50} ={5}\sqrt2\\\sqrt{18}=3 \sqrt{2} \\\sqrt{8}= 2\sqrt{2} \\\\5\sqrt{2} + 3\sqrt{2} -\sqrt{8} = 6\sqrt{2}$

d)

$\sqrt{27} = 3\sqrt{3} = 3.2\sqrt{3} =6\sqrt{3} \\\sqrt{12} =2\sqrt{3} = 2.5\sqrt{3} =10\sqrt{3}\\ \\6\sqrt{3}-10\sqrt{3}=-4\sqrt{3}$

e)

$\sqrt{63} =3\sqrt{7}=3.4\sqrt{7} =12\sqrt{7}\\ \\\\ 12\sqrt{7} -\sqrt{7}=11\sqrt{7}$