√3 x^5y
First, let's do √3
√3=1.7
1.7 • x^5 • y
If you want
1.7 • X^4• x• y.
There are tons of equivalent's!
3x²√(xy) is equivalent to 3√(x⁵y).
Radical rule states that [tex]\sqrt[n]{ab}[/tex] can be rewritten by individual product of [tex]\sqrt[n]{a}[/tex] and [tex]\sqrt[n]{b}[/tex] .
[tex]\sqrt[n]{ab}[/tex] = [tex]\sqrt[n]{a}[/tex] * [tex]\sqrt[n]{b}[/tex]
So here,
given the expression 3√(x⁵y)
factorizing and rewriting the radicand in exponential form
3√(x⁵y)=3√(x⁴.xy)
rewrite the expression by using the radical rule concept [tex]\sqrt[n]{ab}[/tex] = [tex]\sqrt[n]{a}[/tex] * [tex]\sqrt[n]{b}[/tex]
3√(x⁵y)=3√(x⁴.xy)=3√x⁴.√(xy)
simplifying the above expression:
3√(x⁵y)=3√(x⁴.xy)=3√x⁴.√(xy)=3x²√(xy)
Therefore 3x²√(xy) is equivalent to 3√(x⁵y).
Learn more about the radical rule
here: https://brainly.com/question/11565154
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