How to simplify the square root of 175 over 24

Question

square root symbol, inside the square root symbol is 175/24

Answer 1

175=5²×7, 24=2³×3=2²×6

√175=5√7, √24=2√6, so √(175/24)=5√7/(2√6)=(5/2)√(7/6).

1/√6=√6/6, so we have (5/2)√(7×6)/6=5√42/12.