Answer:
2 x^3
Step-by-step explanation:
sqrt(12 x^8)/ sqrt(3x^2)
combine into 1 term
sqrt(12x^8/3x^2)
when dividing exponents with the same base, we subtract
sqrt(12/3 x^(8-2))
sqrt(4 x^6)
sqrt(4) sqrt(x^6)
2 x^3
Answer:
2x^3
Step-by-step explanation:
[tex]\frac{\sqrt{12x^8}}{\sqrt{3x^2}}[/tex]
Both top and bottom have square root . We can take square root in common
[tex]\sqrt{\frac{12x^8}{3x^2} }[/tex]
simplify the exponent using exponential property
a^m / a^n = a^{m-n}, subtract the exponents
[tex]\sqrt{\frac{12x^8}{3x^2} }[/tex]
[tex]\sqrt{4x^6}[/tex]
[tex]\sqrt{4} =2[/tex]
[tex]\sqrt{x^6} =\sqrt{x^2 \cdot x^2 \cdot x^2} =x^3[/tex]
[tex]\sqrt{4x^6}=2x^3[/tex]
