Question

Find the cube root of the following

1) 140 X 2450

2) -2300 X 5290

Answer 1

Hello...
Answer....

1)
We have,
$\sqrt[3]{140 \times 24300} \\ \\ = \sqrt[3]{343 \times 1000} \\ \\ \sqrt[3]{343 \times \sqrt[3]{1000} } \\ \\ = \sqrt[3]{7 \times 7 \times 7} \sqrt[3]{10 \times 10 \times 10} = 7 \times 10 = 70$


2)
We have,

$\sqrt[3]{ - 2300 \times 5290} \\ \\ = - \sqrt{2300 \times 5290} \\ \\ = - \sqrt[3]{23 \times 529 \times 1000} \\ \\ = - \sqrt[3]{23 \times 529} . \sqrt[3]{1000} \\ \\ = - \sqrt[3]{23 \times 23 \times 23} . \sqrt[3]{10 \times 10 \times 10} = - 23 \times 10 = - 230$


Hope this is helpful ☺☺☺☺

Answer 2

Hii...here is your answer .....

Cube root of the 140 X 2450= 70

Cube root of -2300 X 5290= -230

hope helped...