Question

Simplify (1cube+2cube+3cube) raised to 1/2

Answer 1

(1^3 + 2^3 + 3^3)^1/2
=> ( 1 + 8 +27)^1/2
=> ( 36) ^1/2
=>( [6^2] )^1/2
=> 6 ^ 2 × 1/2
=> 6 ^1
=> 6

Answer 2

$(1 {}^{3} + 2 {}^{3} + 3 {}^{3} ) {}^{ \frac{1}{2} } \\ = (1 + 8 + 27) {}^{ \frac{1}{2} } \\ = (36) {}^{ \frac{1}{2} } \\ =( 6 {}^{2} ) {}^{ \frac{1}{2} } \\ = 6 {}^{2 \times \frac{1}{2} } \\ = 6$
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