MATH SOLVE

5 months ago

Q:
# simplify the radical expression square root of 64y^10h^5/16y^12h^5

Accepted Solution

A:

We assume the variables y and h to be positive.

[tex] \sqrt{\dfrac{64y^{10}h^{5}}{16y^{12}h^{5}}} =[/tex]

[tex] = \sqrt{\dfrac{64}{16} \times \dfrac{y^{10}}{y^{12}} \times \dfrac{h^{5}}{h^{5}}} [/tex]

[tex] = \sqrt{4 \times \dfrac{1}{y^{2}} \times 1} [/tex]

[tex] = \sqrt{\dfrac{4}{y^{2}}} [/tex]

[tex] = \dfrac{2}{y} [/tex]

[tex] \sqrt{\dfrac{64y^{10}h^{5}}{16y^{12}h^{5}}} =[/tex]

[tex] = \sqrt{\dfrac{64}{16} \times \dfrac{y^{10}}{y^{12}} \times \dfrac{h^{5}}{h^{5}}} [/tex]

[tex] = \sqrt{4 \times \dfrac{1}{y^{2}} \times 1} [/tex]

[tex] = \sqrt{\dfrac{4}{y^{2}}} [/tex]

[tex] = \dfrac{2}{y} [/tex]