Which of the following tells the correct location of √24?
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Answer:
Explanation:
We should try to reduce
√
24
to the root of a number with a perfect square multiplied by some other whole number.
Let's consider the factors of
24
:
1
,
4
,
6
,
8
,
12
,
24
Out of these,
4
is the largest (and coincidentally, only) perfect square present.
4
⋅
6
=
24
,
so we can rewrite as
√
24
=
√
4
⋅
6
=
√
4
⋅
√
6
as
√
a
b
=
√
a
⋅
√
b
Simplify:
√
4
⋅
√
6
=
2
√
6
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