Unit 6 Days 1-5: Radical Review

• 7

• -7

• 9

• 4

Answer explanation

The square root of 49 is 7 because 7 multiplied by itself equals 49. Therefore, the simplified radical is 7.

• 8

• 4

• -4

• -8

Answer explanation

The cube root of -64 is -4 because -4 * -4 * -4 = -64. The cube root of a negative number results in a negative value.

• -5

• nonreal answer

• 5

• 25

Answer explanation

The square root of a negative number is a nonreal answer, so the simplified radical of sqrt(-25) is a nonreal answer.

• 4x^2/7

• 2x^2/7

• 3x^2/7

• 3x^3/7

Answer explanation

The radical simplifies to 3x^2/7 by taking the square root of 9 and x^4 in the numerator, and the square root of 49 in the denominator.

Answer explanation

The expression can be simplified by taking the fourth root of each term inside the radical. This results in 4x^2y^3, which matches the correct answer choice.

Answer explanation

To simplify the radical expression, we can take the square root of the numerator and denominator separately. This results in sqrt(16x^2)/sqrt(64y^2), which simplifies to 4x/8y, further simplifying to x/y.

• 3

• -3

• 9

• -9

Answer explanation

The cube root of -27 is -3 because -3 * -3 * -3 = -27. The cube root of a negative number results in a negative value.

Answer explanation

To add or subtract radical expressions, combine like terms. In this case, 5√7 - 2√7 + 3√7 simplifies to 6√7. Therefore, the correct answer is 6√7.

• 6

• 3

Answer explanation

To multiply radical expressions, multiply the numbers inside the radicals: √3 * √12 = √(3*12) = √36 = 6