Question

How can a mixed radical be turned into an entire radical?

A. Combine the terms inside the inner radical and rewrite as a single term under the outer radical.
B. Expand the mixed radical by distributing the square root to each term separately.
C. Separate the terms inside the inner radical and rewrite them individually outside the outer radical.
D. Remove the outer radical and express the mixed radical as a sum of two separate radicals.

Answer 1

To turn a mixed radical into an entire radical, we can combine the terms inside the inner radical and rewrite it as a single term under the outer radical.

Step-by-step explanation:

To turn a mixed radical into an entire radical, we can use the property of exponents.

We can rewrite a mixed radical as a single term under the outer radical by combining the terms inside the inner radical and rewriting it as a single term under the outer radical.

For example, if we have √(3 + 2√5), we can combine the terms inside the inner radical as √(3 + 2√5) = √8 + √5. When you have a mixed radical (a radical that includes both a whole number and a radical expression), you can separate the terms inside the inner radical and rewrite them individually outside the outer radical. This process is known as "unwrapping" or "splitting" the radical.