Find the cube root of 3375 - 512

The correct option is A 120 In the given question, we need to find √(3375 ×512) 3375 = 15 ×15 ×15 512 = 8 ×8 ×8 So, √(3375 ×512) = √((15 ×15 ×15) × (8 ×8 × ...

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Byju's Answer

Standard VIII

Mathematics

Cube-Root of Product of Numbers

Find the cube...

Question

Find the cube root of $3375 \times 512$

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180

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150

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120

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Solution

The correct option is D
120

In the given question, we need to find $\sqrt[3]{3375 \times 512}$

$3375 = 15 \times 15 \times 15$

$512 = 8 \times 8 \times 8$

So, $\sqrt[3]{3375 \times 512}$ = $\sqrt[3]{(15 \times 15 \times 15) \times (8 \times 8 \times 8)}$

Hence, $\sqrt[3]{3375 \times 512}$ = $15 \times 8$ = 120

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Similar questions

Find the cube-roots of:

(i) $\frac{27}{64}$ (ii) $\frac{125}{216}$ (iiii) $\frac{343}{512}$

(iv) $64 \times 729$ (v) $64 \times 27$ (vi) $729 \times 8000$

(vii) $3375 \times 512$

Q. Find the cube root of

- 3375

Q. Find,

\sqrt[3]{\frac{- 3375}{512}}

Q. Find the cube root of the following number:

(- 125) \times (- 3375)

Q. Find the cube root of the given number through estimation:

3375

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Find the cube root of 3375×512

The correct option is D 120 In the given question, we need to find 3√3375×512 3375=15×15×15 512=8×8×8 So, 3√3375×512 = 3√(15×15×15)×(8×8×8) Hence, 3√3375×512 = 15×8 = 120

Find the cube root of $3375 \times 512$