What I have learned Directions: Complete the following sentences below with the appropriate terms that you learned in Lesson 6.1. 1. The "?" symbol is called the ______. 2. Real numbers have 2 square roots: the ______ and the ______ roots. 3. The positive root is called the ______. 4. If the square root of a number is a perfect square, then it is called a/an ______. 5. If the square root of the number can't be expressed as a perfect square, then the number is called ______.
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The square root of a number is a value that, when multiplied by itself, gives the original number. It is denoted by the symbol √. For example, the square root of 9 is 3, because 3 multiplied by itself equals 9. The square root function is the inverse of the square function. The square function takes a number and multiplies it by itself, while the square root function takes a number and finds the value that, when multiplied by itself, gives the original number. The square root of a negative number is not a real number. It is called an imaginary number and is denoted by the symbol i. For example, the square root of -9 is 3i, because 3i multiplied by itself equals -9. In mathematics, the square root is used in various applications, such as solving quadratic equations, finding the length of the sides of a right triangle, and calculating the standard deviation in statistics.
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The positive square root of a positive number is its principal square root.
Julie S.
Find each root that is a real number. See Examples 1 and 2. $$ \sqrt{\frac{64}{81}} $$
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