Question

Please help!!!
Simplify sqrt (90)x^5

Answer 1

`\large\boxed{√(90x^5)=3x^2√(10x)}`

Explanation:

`Domain:\ x\geq0\\\\√(90x^5)=\sqrt{9\cdot10\cdot x^(2+2+1)}\\\\\text{use}\ a^n\cdot a^m=a^(n+m)\\\\=√(9\cdot10\cdot x^2\cdot x^2\cdot x^1)\\\\\text{use}\ √(ab)=√(a)\cdot√(b)\\\\=\sqrt9\cdot√(10)\cdot√(x^2)\cdot√(x^2)\cdot√(x)\\\\\text{use}\ √(a^2)=a\ \text{for}\ a\geq0\\\\=3\cdot√(10)\cdot x\cdot x\cdot√(x)=3x^2√(10x)`