SaiBook.us Algebra

Lesson Example Discussion Quiz: Class Homework

Lesson

Title: Square roots and cube roots

Grade: 8-a Lesson: S1-L5

Explanation: Hello students, let us learn a new topic in algebra today with definitions, concepts, examples, and worksheets included.

Lesson:

Definition: Square roots

The square root of a number is a value that, when multiplied by itself, gives the original number.
It’s denoted by the symbol "\$sqrt\$".
For a non-negative the real number a, the square root of a is another non-negative real number b such that \$ "b"^2 = "a" \$.
For example, the square root of 9 is 3, because \$ 3 times 3 = 9 \$.

$1$

Explanation: The square root of a number is represented by the symbol \$sqrt\$.
It’s equal to the number raised to the power of \$1/2\$. If you multiply a number by itself, you get its square.

Definition: Cube roots

The cube root of a number is a value that, when multiplied by itself twice (or raised to the power of 3), gives the original number.
It’s denoted by the symbol "∛".
For any real number a, the cube root of a is another real number b such that \$ "b"^3 = "a" \$.
For example, the cube root of 27 is 3, because \$ 3 times 3 times 3 = 27 \$.

$2$

Explanation: The given image shows that the cube root of a number is the number you multiply by itself three times to get another number.