simplify square root of 4
Understand the Problem
The question is asking to simplify the expression square root of 4. To solve it, we determine what number multiplied by itself gives 4.
Answer
The square root of 4 is $2$.
Answer for screen readers
The square root of 4 is $2$.
Steps to Solve
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Identify the square root The square root of a number $x$ is the value that, when multiplied by itself, gives $x$. We need to find the square root of 4.
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Determine the number We look for a number that satisfies the equation: $$ x \times x = 4 $$
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Finding the solution The number in question is 2, since: $$ 2 \times 2 = 4 $$
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State the final answer Thus, the square root of 4 is $2$.
The square root of 4 is $2$.
More Information
The square root is a fundamental concept in mathematics, and the square root of any non-negative number is always defined. In this case, the square root of 4 can also be expressed as $±2$, since both $2$ and $-2$ satisfy the equation.
Tips
- Not knowing that square roots can be positive and negative: Remember, both $2$ and $-2$ squared gives 4, but by convention, the principal square root (the one usually referred to) is the positive root.
