Question

The square root of a number is between 8 and 9. Which of these could be that number?

Question 3 options:

A)
17


B)
63


C)
71


D)
89

Answer 1

8*8 = 64.

So we know that \(\rm \sqrt{64}\) is \(\rm 8\).
This another way we can write the number 8.

Similarly, \(\rm 9\) can be written as \(\rm \sqrt{81}\).

So when you're looking for a number between 8 and 9,
\(\large\rm 8<x<9\)

You're really looking for a number between \(\rm \sqrt{64}\) and \(\rm \sqrt{81}\).
\(\large\rm \sqrt{64}<x<\sqrt{81}\)

Answer 2

So for example:
\(\rm \sqrt{64}<\sqrt{80}<\sqrt{81}\)

Square root of the number 80 would lie between 8 and 9.

Answer 3

Think you can figure it out from there? :d

Answer 4

no thats why i asked for help lol which is it A B C D

Answer 5

I'm not going to give you a direct answer :)
I'm trying to help you learn it.

That's the point of all that typing :P

Answer 6

oh ok its 71?

Answer 7

71 is between 64 and 81,
so yayyyy that one works out \c:/

Answer 8

\(\large\rm \color{indianred}{\text{Welcome to OpenStudy! :)}}\)

Answer 9

thanks

Answer 10

i have another question

Answer 11

What is it?