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Simplify the radical expression square root of 64y^10h^5/16y^12h^5
4 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]