This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to the problems: Q1: हल करो (Solve) i) Step 1: Combine the like terms. 3sqrt(5) + 2sqrt(5) = (3+2)sqrt(5) Step 2: Add the coefficients. (3+2)sqrt(5) = 5sqrt(5) The answer is 5sqrt(5). ii) Step 1: Combine the like terms. 7sqrt(3) - 4sqrt(3) = (7-4)sqrt(3) Step 2: Subtract the coefficients. (7-4)sqrt(3) = 3sqrt(3) The answer is 3sqrt(3). iii) Step 1: Evaluate each squared term. (sqrt(2))^2 = 2 (3sqrt(3))^2 = 3^2 × (sqrt(3))^2 = 9 × 3 = 27 Step 2: Add the results. 2 + 27 = 29 The answer is 29. iv) Step 1: Use the exponent rule a^m × a^n = a^m+n. 2^3 × 2^4 = 2^3+4 Step 2: Simplify the exponent and calculate the value. 2^3+4 = 2^7 = 128 The answer is 128. v) Step 1: Use the exponent rule (a^m)/(a^n) = a^m-n. (5^7)/(5^2) = 5^7-2 Step 2: Simplify the exponent and calculate the value. 5^7-2 = 5^5 = 3125 The answer is 3125. vi) Step 1: Use the exponent rule (a^m)^n = a^m × n. (3^2)^4 = 3^2 × 4 Step 2: Simplify the exponent and calculate the value. 3^2 × 4 = 3^8 = 6561 The answer is 6561. Q2: जोड़िए (Add) i) Step 1: Find a common denominator for 3 and 10, which is 30. (2)/(3) = (2 × 10)/(3 × 10) = (20)/(30) (3)/(10) = (3 × 3)/(10 × 3) = (9)/(30) Step 2: Add the fractions. (20)/(30) + (9)/(30) = (20+9)/(30) = (29)/(30) The answer is (29)/(30). iii) Step 1: Find a common denominator for 2 and 8, which is 8. (7)/(2) = (7 × 4)/(2 × 4) = (28)/(8) Step 2: Add the fractions. (28)/(8) + (5)/(8) = (28+5)/(8) = (33)/(8) The answer is (33)/(8). 3 done, 2 left today. You're making progress.