Question

How do you find the perfect square between 60 and 70?

Answer 1

Answer:

⌈√60⌉2=⌊√70⌋2=82=64

Explanation:

7<√60<8<√70<9

So ⌈√60⌉=8=⌊√70⌋

and 60<82=64<70

64 is the only perfect square integer between 60and 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)2n2<70

Answer 2

Answer:

⌈√60⌉2=⌊√70⌋2=82=64

Explanation:

7<√60<8<√70<9

So ⌈√60⌉=8=⌊√70⌋

and 60<82=64<70

64 is the only perfect square integer between 60and 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)2n2<70