Question

cube root of -343×(-1000)
​

Answer 1

$\sqrt[3]{ - 343 \times - 1000}</p><p> = \sqrt[3]{ - 343} \times \sqrt[3]{ - 1000}</p><p> = - 7 \times - 10 </p><p>= 70$

Answer 2

Step-by-step explanation:

Cube roots of

1000

are

10

,

(

−

5

+

5

√

3

i

)

and

(

−

5

−

5

√

3

i

)

Explanation:

Cube roots of

1

are well known namely

1

,

−

1

2

+

√

3

2

i

and

−

1

2

−

√

3

2

i

Hence cube roots of

1000

=

10

3

are

10

×

1

=

10

,

10

×

(

−

1

2

+

√

3

2

i

)

=

−

5

+

5

√

3

i

and

10

×

(

−

1

2

−

√

3

2

i

)

=

−

5

−

5

√

3

i