Question

Reduce the radical 176

Answer 1

Answer:
`\boldsymbol{4√(11)}\\\\`

Work Shown:

`√(176)\\\\√(4*44)\\\\√(4)*√(44)\\\\2*√(4*11)\\\\2*√(4)*√(11)\\\\2*2*√(11)\\\\\boldsymbol{4√(11)}\\\\`

The idea is to factor the number such that we pull out perfect square factors. We use the rule that
`√(x*y) = √(x)*√(y)` to help break up the root. We also use the idea that
`√(x^2) = x` when x is nonnegative.