Question

Between what two consecutive integers do √250 lie?

Answer 1

Between

15

and

16

Explanation:

15

2

=

225

<

250

<

256

=

16

2

So

15

=

√

225

<

√

250

<

√

256

=

16

In fact

√

250

=

[

15

;

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

1

,

4

,

3

,

3

,

4

,

1

,

30

]

=

15

+

1

1

+

1

4

+

1

3

+

1

3

+

1

4

+

1

1

+

1

30

+

...

≈

15.8113883