Verified answer

√(1 7/9 *√(29/(33² - 25²)) = √(16/9*√29/(33 - 25)(33 + 25)) = √(16/9 * √29/8*58) = √(16/9*√1/16) = √(16/9*1/4) = √4/9 = 2/3

a² - b² = (a - b)(a + b)