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

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Nice Square Root Math Simplification: √(√75 + √72) = ? √75 + √72 = (√3)(5 + √24), 5 + √24 = (√3)² + 2(√3)(√2) + (√2)² = (√3 + √2)² √(√75 + √72) = √[(√3)(√3 + √2)²] = (⁴√3)(√3 + √2) = ⁴√(3³) + ⁴√[(2²)(30] √(√75 + √72) = ⁴√27 + ⁴√12 Answer check: √(√75 + √72) = √(8.660 + 8.485) = 4.141 ⁴√27 + ⁴√12 = 2.280 + 1.861 = 4.141; Confirmed Math check was achieved on a smartphone with a standard calculator app Final answer: Simplified form; √(√75 + √72) = ⁴√27 + ⁴√12

{75x+75x ➖ } =150x^2 {72x+72x ➖}= 144x^2 {150x^2+144x^2} 294x^4 10^20 2^47 x^4 2^5^5^4 2^47^1x^2^2 1^1^1^4 2^1^1x^4 2^2 2x^2^2 1^1 1 x^1^2 x^1^2 (x ➖ 2x+1)