Question

Which square root is between 4 and 5?


`√(10)`


`√(14)`


`√(24)`


`√(32)`

Answer 1

Hi JordanMartinez81,

√10 = 3.16227766...

√14 = 3.74165738...

√24 = 4.89897948...

√32 = 5.65685425...

Hope This Helps!

Answer 2

Answer: Ok, the square root is defined as:
`√(x)` is the number that when squared returns x, so :
`\sqrt[2]{x} ^(2)  = x`.

Then in this problem you want to know which root is between 4 and 5, the first thing we need to see is the squares of this numbers:

4*4 = 16, so
`√(16)` = 4

5*5 = 25, so
`√(25)` = 5

then we need to find a square root valued in a number between 16 and 25.

looking at the options you give, the only number between 16 and 25 is the 24.

so the square root between 4 and 5 is
`√(24)`.