Nice Square Root Math Simplification | You should know this Trick! 

(√3 +1):(√3 - 1)=2+√3

3^25+5^5/3^25+5^5 3^5^5+ 1^1/3^5^5+1^1 3^1^1/3^1^1 1^1/3^1 3^1 (x ➖ 3x+1)

Nice Square Root Math Simplification: (√75 + √25)/(√75 - √25) = ? (√75 + √25)/(√75 - √25) = [(√25)(√3 + 1)]/[(√25)(√3 - 1)] = (√3 + 1)/(√3 - 1) = (√3 + 1)²/[(√3 - 1)(√3 + 1)] = (3 + 2√3 + 1)/(3 - 1) = (4 + 2√3)/2 = 2 + √3 Answer check: (√75 + √25)/(√75 - √25) = 2 + √3; Confirmed as shown Final answer: Simplified form; (√75 + √25)/(√75 - √25) = 2 + √3