Question

1. Simplify: ( √2 )^2

2. Simplify: √100
3.Simplify: √50
4. Simplify: √a^3 b^4 c^5
5. Simplify: √12x^6 y^2 z^7

Answer 1

Explanation:

`1) (√(2))^(2)= √(2)* √(2)= √(2*2)=2\\\\\\2) √(100)= √(2*2*5*5)=2*5=10\\\\\\3) √(50)= √(2*5*5)=5 √(2)\\\\\\4) \sqrt{a^(3)*b^(4)*c^(5)}= √(a*a*a*b*b*b*b*c*c*c*c*c)=a*b*b*c*c √(a*c)=ab^(2)c^(2) √(ac)\\\\\\5) \sqrt{12x^(6)y^(2)z^(7)}= √(2*2*3*x*x*x*x*x*x*y*y*z*z*z*z*z*z*z)=2*x*x*x*y*z*z*z √(3z)=2x^(3)yz^(3) √(3z)`