Question

express in simplest radical form.
\\(\dfrac{\sqrt{450}}{\sqrt{9}}\\)
answer
attempt 1 out of 2
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Explanation:

Step1: Simplify the denominator

We know that $\sqrt{9} = 3$ since $3\times3 = 9$.

Step2: Simplify the numerator

First, factorize $450$: $450=25\times18 = 25\times9\times2$. Then $\sqrt{450}=\sqrt{25\times9\times2}=\sqrt{25}\times\sqrt{9}\times\sqrt{2}=5\times3\times\sqrt{2} = 15\sqrt{2}$.

Step3: Divide the simplified numerator by the simplified denominator

Now we have $\frac{\sqrt{450}}{\sqrt{9}}=\frac{15\sqrt{2}}{3}$. Dividing $15$ by $3$ gives $5$, so the result is $5\sqrt{2}$.

Answer:

$5\sqrt{2}$