Question

Determine o valor de:

A)√100
B)⁴√256
C)+√25
D)-√144
E)³√-8
F)3√16

Answer 1

✏️ Cálculo :

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${ \large \displaystyle \sf {a) \: \sqrt{100} = \sqrt{10 {}^{2} } = }} \: { \green{ { \boxed{ \pink{ \large \displaystyle \sf{ \: 10 \: }}}}}}$

${ \large \displaystyle \sf {b) \: \sqrt[4]{256} = \sqrt[4]{4 {}^{4} } = \: }4 {}^{ \frac{4}{4} } = 4 {}^{1} } = \: { \green{ { \boxed{ \pink{ \large \displaystyle \sf{ \: 4 \: }}}}}}$

${ \large \displaystyle \sf {c) + \sqrt{25} = + \sqrt{5 {}^{2} } = }} \: \: { \green{ { \boxed{ \pink{ \large \displaystyle \sf{ \ + 5 \: }}}}}}$

${ \large \displaystyle \sf {d) - \sqrt{144} = - \sqrt{12 {}^{2} } = }} \: \: { \green{ { \boxed{ \pink{ \large \displaystyle \sf{ - 12 \: }}}}}}$

${ \large \displaystyle \sf {e) \ \sqrt[3]{ - 8} = - \sqrt[3]{8} = - \sqrt[3]{2 {}^{3} } = - 2 {}^{ \frac{3}{3} } } = - 2 {}^{1} = } \: \: { \green{ { \boxed{ \pink{ \large \displaystyle \sf{ - 2 \: }}}}}}$

${ \large \displaystyle \sf {e) \: 3 \sqrt{16} = 3 \sqrt{4 {}^{2} } = } \: 3 \cdot4 = } \: { \green{ { \boxed{ \pink{ \large \displaystyle \sf{ \: 12 \: }}}}}}$

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Espero ter ajudado! ❤️

Answer 2

Explicação passo-a-passo:

$\sqrt{100} = \sqrt{ {10}^{2} } = 10$

$\sqrt[4]{256} = \sqrt[4]{ {4}^{4} } = 4$

$+ \sqrt{25} = 5$

$- \sqrt{144} = - \sqrt{ {12}^{2} } = - 12$

$\sqrt[3]{ - 8} = -\sqrt[3]{ 8} = -\sqrt[3]{ {2}^{3} } = -2$

$3 \sqrt{16} = 3 \times \sqrt{ {4}^{2} } = 3 \times 4 = 12$

Bons estudos.