Question

Simplify the radical expression square root of x^8y^18

Answer 1

`Use\\\\√(ab)=√(a)\cdot√(b)\\\\(a^n)^m=a^(nm)\\\\√(a^2)=|a|\\--------------------\\\\\sqrt{x^8y^(18)}=√(x^8)\cdot\sqrt{y^(18)}=\sqrt{x^(4\cdot2)}\cdot\sqrt{y^(9\cdot2)}=√((x^4)^2)\cdot√((y^9)^2)\\\\=|x^4||y^9|=\boxedy`