Find the value of nbsp-5-50-500-500-125-50-25-

The correct option is C 50 The given expression nbsp; nbsp;√(5)×√(50)×√(500) = √(5×50×500) = nbsp; nbsp;√(5×5×10×5×10×10) = nbsp; nbsp;√(5×5×5×10× ...

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Byju's Answer

Standard VIII

Mathematics

Finding Cube Roots Using Prime Factorization

Find the valu...

Question

Find the value of $\sqrt[3]{5} \times \sqrt[3]{50} \times \sqrt[3]{500}$ .

500

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125

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Solution

The correct option is C
50

The given expression $\sqrt[3]{5} \times \sqrt[3]{50} \times \sqrt[3]{500} = \sqrt[3]{5 \times 50 \times 500}$

$= \sqrt[3]{5 \times 5 \times 10 \times 5 \times 10 \times 10}$

$= \sqrt[3]{5 \times 5 \times 5 \times 10 \times 10 \times 10}$

$= 5 \times 10$

$= 50$

$∴$ The value of the given expression is 50.

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Find the value of $\sqrt[3]{5} \times \sqrt[3]{50} \times \sqrt[3]{500}$ .

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Find the value of 3√5×3√50×3√500.

The correct option is C 50 The given expression 3√5×3√50×3√500=3√5×50×500 =3√5×5×10×5×10×10 =3√5×5×5×10×10×10 =5×10 =50 ∴ The value of the given expression is 50.

Find the value of $\sqrt[3]{5} \times \sqrt[3]{50} \times \sqrt[3]{500}$ .