Question

Find cube root of 27×64​

Answer 1

Answer:

27×64

Step-by-step explanation:

1728.

square root of 1728=41.56

Answer 2

Resolving 27 and 64 into prime factors, we get

$3 \sqrt{27 } = (3 \times 3 \times 3 ) {}^{ \frac{1}{3} } = ( {3}^{3} ) {}^{ \frac{1}{3} }$

$3 \sqrt{27 } = 3$

$\bold{3 \sqrt{64 } = (2 \times 2 \times 2 \times 2 \times 2 \times 2) {}^{ \frac{1}{3} } }$

$= ( {2}^{6}) {}^{ \frac{1}{3} } = {2}^{2} = 4$

$3 \sqrt{63} = 4$

$3 \sqrt{27 \times 64} = 3 \sqrt{27} \times 3\sqrt{64}$

$= 3 \times 4$

$3 \sqrt{27 \times 64} = 12$