Use the square root symbol to solve x2=62 .
√(x^2) = √62
x = ±√62
x ≈ ±7.874
To solve the equation x^2 = 62 using the square root symbol, follow these steps:
Step 1: Write down the equation: x^2 = 62
Step 2: Take the square root of both sides of the equation. By taking the square root, we can isolate x.
√(x^2) = √62
The square root of x^2 is simply x, so the equation becomes:
x = √62
Step 3: Simplify the square root of 62. Since 62 is not a perfect square, we can express it as the product of its factors, one of which can be simplified:
x = √(2 * 31)
Step 4: Further simplify the square root expression:
x = √2 * √31
Step 5: Use a calculator or reference table to approximate the square root values:
x ≈ 1.41 * √31
This is the solution to the equation x^2 = 62 using the square root symbol.
To solve the equation x^2 = 62 using the square root symbol, you need to take the square root of both sides of the equation.
√(x^2) = √62
On the left side, the square root of x^2 is simply x.
x = √62
Thus, the solution to the equation x^2 = 62 using the square root symbol is x = √62.