Question

Solve
3√-125Х64

plz solve fast​

Answer 1

On prime factorising, we get

125 = 5 × 5 × 5

= 5³

64 = 2 × 2 × 2 × 2 × 2 × 2

= 4 × 4 × 4

= 4³

Then,

$\sqrt[3]{ - 125 \times 64} \\ \\ \sqrt[3]{ - 5^{3} \times 4^{3}} \\ \\ - 5 \times 4 = - 20$

so the correct option is 4) - 20

مرحبا صديقي العزيز!

Answer 2

On prime factorising, we get

125 = 5 × 5 × 5

= 5³

64 = 2 × 2 × 2 × 2 × 2 × 2

= 4 × 4 × 4

= 4³

Then,

$\begin{gathered} \sqrt[3]{ - 125 \times 64} \\ \\ \sqrt[3]{ - 5^{3} \times 4^{3}} \\ \\ - 5 \times 4 = - 20\end{gathered}3−125×643−53×43−5×4=−20$