Question

Find the conjugate of each of the following radical expressions. a. √5+√11b. 9-√11c. ∛3+1.5

Answer 1

The conjugates of the given radical expressions √5+√11, 9-√11, and ∛3+1.5 are √5-√11, 9+√11, and ∛3-1.5, respectively. They are found by changing the sign between the terms.

Step-by-step explanation:

Finding the Conjugate of Radical Expressions

To find the conjugate of a radical expression, you change the sign between the two terms while keeping the same radical parts. Here are the conjugates of the provided expressions:

• For √5+√11, the conjugate is √5-√11.
• For 9-√11, the conjugate is 9+√11.
• For ∛3+1.5, the conjugate is ∛3-1.5.

Conjugates are useful for rationalizing denominators or simplifying expressions in algebra.

Answer 2

The answer to your question is below.

Step-by-step explanation:

Process

Conjugate

a. √5+√11
`√(5) - √(11)`

b. 9-√11
`9  + √(11)`

c. ∛3+1.5
`\sqrt[3]{3^(2) } - 1.5`