Answer:
[tex]9 \sqrt{135}[/tex]
Step-by-step explanation:
Express 135 as a product of 15 and 9:
[tex]135=15*9[/tex]
So:
[tex]3\sqrt{15*9}[/tex]
Now, use the following property:
[tex]\sqrt[n]{a*b} =\sqrt[n]{a}\hspace{3} \sqrt[n]{b}[/tex]
Therefore:
[tex]3\sqrt{15} \sqrt{9}[/tex]
Since the square root of 9 is 3, the simplified form of [tex]3\sqrt{135}[/tex]:
[tex]3\sqrt{15} \sqrt{9}=3*3\sqrt{15} =9\sqrt{15}[/tex]
The simplified from is the form if expression which is obtained by performing mathematical operations to the expression and convert it to its standard form.
Hence, the simplified form of [tex]3\sqrt{135}[/tex] is [tex]9\sqrt{15}[/tex]
Given information:
The given root is [tex]3\sqrt{135}[/tex]
Now we know that:
[tex]135=9\times15[/tex]
And we also know a property that is:
[tex]\sqrt{a\times b} =\sqrt{a} \times \sqrt{b}[/tex]
on applying both the above information:
We get,
[tex]3\sqrt{135} =3\times \sqrt{9\times 15} \\3\sqrt{135} =3\times \sqrt{9} \times\sqrt{15} \\3\sqrt{135} =3\times 3\times \sqrt{15} \\3\sqrt{135} =9\times \sqrt{15}[/tex]
Hence the simplified form of [tex]3\sqrt{135}[/tex] is [tex]9\sqrt{15}[/tex].
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https://brainly.com/question/12930065
