Question

Can I get some help, please?

Answer 1

let's keep in mind that


`\bf \sqrt{\cfrac{36a^8}{225a^2}}\implies \sqrt{\cfrac{6^2a^(4\cdot 2)}{15^2a^2}}\implies \sqrt{\cfrac{6^2(a^4)^2}{15^2a^2}}\implies \cfrac{6a^4}{15a}\implies \cfrac{2a^3}{5}`

A)


`\bf \sqrt{\cfrac{2(2)(3)(3)aaaaaaaa}{3(3)(5)(5)aa}}\implies \sqrt{\cfrac{36a^(1+1+1+1+1+1+1+1)}{225a^(1+1)}}\implies \sqrt{\cfrac{36a^8}{225a^2}}`

B)


`\bf \sqrt{\cfrac{4a^6}{25}} \implies \sqrt{\cfrac{2^2a^(3\cdot 2)}{5^2}}\implies \sqrt{\cfrac{2^2(a^3)^2}{5^2}}\implies \cfrac{2a^3}{5}`

C)


`\bf \cfrac{6}{25}\sqrt{\cfrac{a^8}{a^2}}\implies \cfrac{6}{25}\sqrt{a^8\cdot a^(-2)}\implies \cfrac{2}{5}\sqrt{a^(8-2)}\implies \cfrac{2}{5}√(a^6) \\\\\\ \cfrac{2}{5}\sqrt{a^(3\cdot 2)}\implies \cfrac{2}{5}√((a^3)^2)\implies \cfrac{2}{5}a^3\implies \cfrac{2a^3}{5}`

D)


`\bf \cfrac{6}{15}a^4\implies \cfrac{2}{5}a^4\implies \cfrac{2a^4}{5}~~\\e ~~\cfrac{2a^3}{5}`

E)

well, by now, just check above, you'd know.