Which equation is true?
square root 8^2 = 4
square root 6^2 = 24
square root 5^2 = 5 ******
square root 3^2 = 81
Right.
The equation that is true is square root 5^2 = 5.
To determine which equation is true, we need to evaluate each expression and see which one satisfies the given equation.
Starting with the first equation:
√8^2 = 4
First, evaluate the exponent: 8^2 = 64
Then, take the square root of 64: √64 = 8
Since 8 is not equal to 4, the first equation is not true.
Moving on to the second equation:
√6^2 = 24
Evaluate the exponent: 6^2 = 36
Then, take the square root of 36: √36 = 6
Since 6 is not equal to 24, the second equation is not true.
Now let's look at the third equation:
√5^2 = 5
Evaluate the exponent: 5^2 = 25
Then, take the square root of 25: √25 = 5
Since 5 is indeed equal to 5, the third equation is true.
Finally, let's consider the fourth equation:
√3^2 = 81
Evaluate the exponent: 3^2 = 9
Then, take the square root of 9: √9 = 3
Since 3 is not equal to 81, the fourth equation is not true.
Therefore, the equation that is true is:
square root 5^2 = 5