Find each square root. See Example 1. √100

검증된 단계별 안내

Recognize that the problem asks for the square root of 100, which means finding a number that, when multiplied by itself, equals 100.

Recall the definition of the square root: if $x^2 = a$, then $x = \sqrt{a}$ or $x = -\sqrt{a}$, where $a$ is a non-negative number.

Identify perfect squares near 100 to help find the square root. Since $10^2 = 100$, 10 is a candidate.

Write the square root expression as $\sqrt{100} = 10$ or $-10$, because both \$10^2$ and $(-10)^2$ equal 100.

Conclude that the principal (non-negative) square root of 100 is 10, which is typically the value referred to by $\sqrt{100}$.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Square Root Definition

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 100 is 10 because 10 × 10 = 100. It is denoted by the radical symbol (√).

Perfect Squares

Perfect squares are numbers that are squares of integers, such as 1, 4, 9, 16, and 100. Recognizing perfect squares helps quickly find their square roots without a calculator, as their roots are whole numbers.

Principal Square Root

The principal square root refers to the non-negative root of a number. Although both positive and negative values squared give the original number, the square root symbol (√) typically represents the positive root only.