Introduction to Radical Expressions: 동영상 및 연습문제

Evaluate the expression: $\sqrt{81}$

What numerical value does the expression $-\sqrt{25}$ represent?

Which notation is used to explicitly denote both the principal root and the negative root of $x$ simultaneously?

Which of the following expressions evaluates to a real number?

How many real solutions does the equation $x^4=81$ have?

Which statement correctly describes the behavior of $n$^th roots for integers $n\ge 2$?

Simplify the radical expression: $\sqrt{200}$

Which of the following integers is a perfect cube?

Simplify the radical expression fully: $\sqrt{16x^4}$

Simplify the expression for any real number $x$: $\sqrt{(x-1{)}^2}$

Evaluate the expression: $\sqrt[3]{-125}$

Evaluate the expression: $\sqrt[5]{32}$

Which of the following is a mathematically equivalent way to evaluate the expression $\sqrt[3]{20}$ using an exponent?

Which of the following is equivalent to the expression $\sqrt{3}\cdot \sqrt{12}$?

A square tile has an area of $50{\text{cm}}^2$. Which of the following is the side length of the tile in simplest radical form?

Solve for $x$: $\sqrt{x+6}=4$

Simplify the expression fully, assuming $x$ is any real number: $\sqrt[4]{81x^8}$

Which of the following is the correct simplification of $\sqrt{a^2}$ for any real number $a$?

Which of the following expressions represents an imaginary (non-real) number?

Simplify the expression by combining like terms: $\sqrt{50}+\sqrt{18}$

Simplify the expression for any real number $x$: $\sqrt{x^2}+\sqrt{x^4}$

A circular garden has an area of $150\pi {\text{m}}^2$. Using the formula $A=\pi r^2$, which of the following is the radius $r$ of the garden in simplest radical form?

Simplify the expression to its simplest radical form: $\sqrt[3]{864}$

Simplify the expression $(\sqrt{x+9}{)}^2$ for $x\ge -9$.