$\sqrt{16} \times 3^2=$
Answer (1)
Calculate the square root of 16: 16 = 4 .
Calculate 3 squared: 3 2 = 3 × 3 = 9 .
Multiply the results: 4 × 9 = 36 .
The final answer is 36 .
Explanation
Understanding the Problem We are asked to evaluate the expression 16 × 3 2 .
Calculating the Square Root First, we need to find the square root of 16. The square root of a number x is a value that, when multiplied by itself, equals x . In this case, we are looking for a number that, when multiplied by itself, equals 16. We know that 4 × 4 = 16 , so 16 = 4 .
Calculating the Power Next, we need to calculate 3 2 . This means 3 raised to the power of 2, which is the same as 3 multiplied by itself: 3 2 = 3 × 3 = 9 .
Multiplying the Results Finally, we multiply the results we obtained in the previous steps: 4 × 9 = 36 .
Final Answer Therefore, 16 × 3 2 = 4 × 9 = 36 .
Examples
Understanding exponents and square roots is crucial in many fields, such as physics and engineering. For example, when calculating the area of a square, you square the length of one of its sides. Similarly, square roots are used to find the length of a side if you know the area. This simple calculation forms the basis for more complex calculations in various scientific and practical applications, such as determining the trajectory of a projectile or calculating the strength of a structure.
