Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
To simplify
, follow these steps:
-
Factor the Number Inside the Square Root:Break down 18 into its prime factors:Notice that 9 is a perfect square since
. -
Apply the Square Root to Each Factor:Use the property of square roots that
: -
Simplify the Square Roots:So,
Final Simplified Form:
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Beyond the Answer
To simplify
, we can break it down into its prime factors. Since
and
is a perfect square, we can rewrite
as
. This simplifies to
, which equals
. So,
.
Additionally, if you were to compute the decimal value of
, you would find it to be approximately
. This can be useful in practical applications like geometry, where understanding dimensions in decimal form can ease calculations. So, whether you stick with
for precise representation or use the approximate decimal for real-world measurements, you’re good to go!