Solve: Square Root Product (√9 × √4) Plus 9² × 6 Expression

Question

9×4+92×6= \sqrt{9}\times\sqrt{4}+9^2\times6=

Video Solution

Solution Steps

00:00 Solve
00:03 Let's calculate the roots
00:17 Let's calculate the exponent
00:20 Always solve multiplication and division before addition and subtraction
00:26 Calculate each multiplication and then add
00:33 And this is the solution to the question

Step-by-Step Solution

Let's solve the following expression step by step using the order of operations: 9×4+92×6= \sqrt{9}\times\sqrt{4}+9^2\times6= .

1. Calculate the square roots:
- The square root of 9 is 3, so 9=3 \sqrt{9} = 3 .
- The square root of 4 is 2, so 4=2 \sqrt{4} = 2 .
Thus, the expression becomes 3×2+92×6 3 \times 2 + 9^2 \times 6 .

2. Multiplication of the square roots:
- Multiply the results of the square roots: 3×2=6 3 \times 2 = 6 .

3. Calculate the power:
- Calculate 9 squared: 92=81 9^2 = 81 .

4. Multiply with 6:
- Multiply the power result by 6: 81×6=486 81 \times 6 = 486 .

5. Final addition:
- Add the result from the square roots and the power: 6+486=492 6 + 486 = 492 .

The evaluated result of the expression 9×4+92×6 \sqrt{9}\times\sqrt{4}+9^2\times6 is 492

Answer

492