Question

Simplify the radical expression 5√7+2√175

Answer 1

`5√(7) + 2√(175)=5√(7)+2√(25 \cdot 7)=5√(7)+ 2 \cdot √(25) \cdot √(7)= \\ \\ = 5√(7)+2 \cdot 5 \cdot √(7)=5√(7)+10√(7)=\boxed{15√(7)} \approx 39.69`

remember about formula
`√(ab) = √(a) \cdot √(b)`