Question

write a perfect cube between 60 to 70​

Answer 1

Answer:

⌈

√

60

⌉

2

=

⌊

√

70

⌋

2

=

8

2

=

64

Step-by-step explanation:

7

<

√

60

<

8

<

√

70

<

9

So

⌈

√

60

⌉

=

8

=

⌊

√

70

⌋

and

60

<

8

2

=

64

<

70

64

is the only perfect square integer between

60

and

70

, but there are an infinite number of square rational numbers between

60

and

70

.

In fact for any integer

n

≥

22

, we find

64

<

64

(

n

+

1

)

2

n

2

<

70