Simplify: ${(5 {(8^{1 / 3} + 27^{1 / 3})}^{3})}^{1 / 4}$

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Solution

The correct option is C $5$
${(5 {(8^{1 / 3} + 27^{1 / 3})}^{3})}^{1 / 4}$ $=$ ${(5 {(2 + 3)}^{3})}^{1 / 4}$

$\Rightarrow$ ${(5 {(5)}^{3})}^{1 / 4}$

$\Rightarrow$ ${(5 \times 125)}^{1 / 4}$

$\Rightarrow$ $\sqrt[4]{625}$

$\Rightarrow$ $5$

$∴$ ${(5 {(8^{1 / 3} + 27^{1 / 3})}^{3})}^{1 / 4} = 5$

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Similar questions

Q. Solve

{5 (8^{\frac{1}{3}} + 27^{\frac{1}{3}})^{3}}^{\frac{1}{4}}

Write the value of ${5 {(8^{\frac{1}{3}} + 27^{\frac{1}{3}})}^{3}}^{\frac{1}{4}}$

Q. Write the value of

{\{5 (8^{1 / 3} + 27^{1 / 3})^{3}\}}^{1 / 4} .

Q. Simplify :

{[5 {(8^{\frac{1}{3}} + 27^{\frac{1}{3}})}^{3}]}^{\frac{1}{4}}

Evaluate (i) $(1^{3} + 2^{3} + 3^{3})^{\frac{1}{2}}$ (ii) ${[5 {(8^{\frac{1}{3}} + 27^{\frac{1}{3}})}^{3}]}^{\frac{1}{4}}$ (iii) $\frac{2^{0} + 7^{0}}{5^{0}}$ (iv) ${[(16)^{\frac{1}{2}}]}^{\frac{1}{2}}$

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Simplify: (5(81/3+271/3)3)1/4

The correct option is C 5(5(81/3+271/3)3)1/4 = (5(2+3)3)1/4⇒ (5(5)3)1/4⇒ (5×125)1/4⇒ 4√625⇒ 5∴ (5(81/3+271/3)3)1/4=5

Simplify: ${(5 {(8^{1 / 3} + 27^{1 / 3})}^{3})}^{1 / 4}$

The correct option is C $5$
${(5 {(8^{1 / 3} + 27^{1 / 3})}^{3})}^{1 / 4}$ $=$ ${(5 {(2 + 3)}^{3})}^{1 / 4}$

$\Rightarrow$ ${(5 {(5)}^{3})}^{1 / 4}$

$\Rightarrow$ ${(5 \times 125)}^{1 / 4}$

$\Rightarrow$ $\sqrt[4]{625}$

$\Rightarrow$ $5$

$∴$ ${(5 {(8^{1 / 3} + 27^{1 / 3})}^{3})}^{1 / 4} = 5$