The problem asks us to evaluate the expression $\sqrt{(10)^2}$.

ArithmeticSquare RootsExponentsOrder of Operations
2025/3/11

1. Problem Description

The problem asks us to evaluate the expression (10)2\sqrt{(10)^2}.

2. Solution Steps

We need to simplify the expression (10)2\sqrt{(10)^2}. Recall that the square root of a number squared is the absolute value of that number.
In other words, x2=x\sqrt{x^2} = |x|.
In our case, x=10x = 10. Since 10 is a positive number, the absolute value of 10 is simply
1
0.
x2=x\sqrt{x^2} = |x|
(10)2=10=10\sqrt{(10)^2} = |10| = 10
Alternatively, we can first square 10 to get 102=10010^2 = 100.
Then, we can find the square root of
1
0

0. $\sqrt{100} = 10$

This is because 1010=10010 * 10 = 100.

3. Final Answer

10

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