Find the cube root of 294 - 252 by prime factorisation- -3 MARKS-

Concept: 1 Mark Application: 2 Marks By prime factorisation 252 = 6^2 × 7 By prime factorisation 294 = 7^2 × 6 252 × 294 = 6^3 × 7^3 Therefore, the cube ro ...

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Standard VIII

Mathematics

Cube Root of a Cube Number

Find the cube...

Question

Find the cube root of $294 \times 252$ by prime factorisation. [3 MARKS]

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Solution

Concept: 1 Mark
Application: 2 Marks

By prime factorisation
$252 = 6^{2} \times 7$

By prime factorisation
$294 = 7^{2} \times 6$

$252 \times 294 = 6^{3} \times 7^{3}$

Therefore, the cube root of $252 \times 294 = 6 \times 7 = 42$

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Find the cube root of 294×252 by prime factorisation. [3 MARKS]

Concept: 1 Mark Application: 2 Marks By prime factorisation 252=62×7 By prime factorisation 294=72×6 252×294=63×73 Therefore, the cube root of 252×294=6×7=42

Find the cube root of $294 \times 252$ by prime factorisation. [3 MARKS]

Concept: 1 Mark
Application: 2 Marks

By prime factorisation
$252 = 6^{2} \times 7$

By prime factorisation
$294 = 7^{2} \times 6$

$252 \times 294 = 6^{3} \times 7^{3}$

Therefore, the cube root of $252 \times 294 = 6 \times 7 = 42$