Converting Radical forms

Front

What is a radical in mathematics?

Back

A radical is a symbol that represents the root of a number, typically the square root, cube root, etc.

Front

How do you convert a radical expression to exponential form?

Back

To convert a radical expression to exponential form, use the formula: √a = a^(1/2) for square roots, and a^(1/n) for nth roots.

Front

What is the square root of 16?

Back

The square root of 16 is 4.

Front

What does it mean for an expression to simplify to an integer?

Back

An expression simplifies to an integer if, when evaluated, it results in a whole number without fractions or decimals.

Front

Convert 27^(2/3) to radical form.

Back

27^(2/3) = √(27^2) = √729 = 27.

Front

What is the cube root of 8?

Back

The cube root of 8 is 2.

Front

How do you express 16^(1/2) in radical form?

Back

16^(1/2) = √16 = 4.

Front

What is the value of 25^(3/2)?

Back

25^(3/2) = (√25)^3 = 5^3 = 125.

Front

Which of the following does not simplify to an integer: 27^(2/3), 16^(1/2), or 8^(1/3)?

Back

27^(2/3) simplifies to 27, 16^(1/2) simplifies to 4, and 8^(1/3) simplifies to 2. All simplify to integers.

Front

Write the expression √(x^4) in exponential form.

Back

√(x^4) = x^(4/2) = x^2.