Question

me ajudem por favor sério mesmo!!
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Answer 1

3.

a)

$\sqrt{75} = \sqrt{3 \times {5}^{2} } = 5 \sqrt{3}$

b)

$\sqrt{700} = \sqrt{ {2}^{2} \times {5}^{2} \times 7 }$

$= 2 \times 5 \sqrt{7} = 10 \sqrt{7}$

C)

$\sqrt[3]{250} = \sqrt[3]{2 \times {5}^{3} } = 5 \sqrt[3]{2}$

d)

$\sqrt[5]{192} = \sqrt[5]{ {2}^{5} \times 2 \times 3} =$

$2 \sqrt[5]{2 \times 3} = 2 \sqrt[5]{6}$

e)

$\sqrt[4]{176} = \sqrt[4]{ {2}^{4} \times 11} = 2 \sqrt[4]{11}$

f)

$\sqrt{800} = \sqrt{ {2}^{2} \times {2}^{2} \times 2 \times {5}^{2} }$

$2 \times 2 \times 5 \sqrt{2} = 20 \sqrt{2}$

g)

$1800 = {2}^{3} \times {3}^{2} \times {5}^{2}$

h)

$\sqrt[3]{375} = \sqrt[3]{3 \times {5}^{3} } = 5 \sqrt{3}$

i)

$\sqrt{2700} = \sqrt{ {2}^{2} \times {3}^{2} \times 3 \times {5}^{2} }$

$2 \times 3 \times 5 \sqrt{3} = 30 \sqrt{3}$

j)

$\sqrt[6]{640} = \sqrt[6]{ {2}^{6} \times 2 \times 5}$

$2 \sqrt[6]{2 \times 5} = 2 \sqrt[6]{10}$