Question

Who knows what this is ?

Answer 1

`\large\boxed{√(8x^7)=2x^3√(2x)}`

Explanation:

`Domain:\ x\geq0\\\\√(8x^7)=\sqrt{4\cdot2\cdot x^(2+2+2+1)}\\\\\text{use}\ a^n\cdot a^m=a^(n+m)\\\\=√(4\cdot2\cdot x^2\cdot x^2\cdot x^2\cdot x^1)\\\\\text{use}\ √(a\cdot b)=√(a)\cdot√(b)\\\\=\sqrt4\cdot\sqrt2\cdot√(x^2)\cdot√(x^2)\cdot√(x^2)\cdot√(x)\\\\\text{use}\ √(a^2)=a\ \text{for}\ a\geq0\\\\=2\cdot\sqrt2\cdot x\cdot x\cdot x\cdot√(x)=2x^3√(2x)`