Combine the like terms under the square root.

Here are the solutions to the problems: 1.1 Step 1: Combine the like terms under the square root. sqrt(100x^2 - 64x^2) = sqrt(36x^2) Step 2: Take the square root of the expression. sqrt(36x^2) = sqrt(36) · sqrt(x^2) = 6|x| The absolute value is used because sqrt(x^2) is |x|. If x is assumed to be non-negative, then it simplifies to 6x. Assuming x 0: sqrt(36x^2) = 6x The final answer is 6x 1.2 Step 1: Combine the like terms under the square root. sqrt(9a^4b^6 + 16a^4b^6) = sqrt(25a^4b^6) Step 2: Take the square root of the expression. sqrt(25a^4b^6) = sqrt(25) · sqrt(a^4) · sqrt(b^6) = 5 · a^4/2 · b^6/2 = 5a^2b^3 The final answer is 5a^2b^3 1.3 Step 1: Take the square root of the first term. sqrt(64x^2) = sqrt(64) · sqrt(x^2) = 8|x| Assuming x 0: sqrt(64x^2) = 8x Step 2: Subtract the second term from the result. 8x - 3x^2 The final answer is 8x - 3x^2 Send me the next one 📸