Question

I'm having trouble with these practice questions we were assigned and my teacher isn't much help. Can someone help me? This is for Simplifying Radicals.

Answer 1

Simplifying radicals involves reducing the number under the radical to its smallest factors. This is done by taking out pairs of numbers under the radical. In the example, √18 simplifies to 3√2.

Step-by-step explanation:

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A radical simplifies when the number inside the radical symbol becomes as small as possible. For instance, √8 can be simplified to 2√2.

Here are the steps to simplify a radical:

1. Find the prime factors of the number inside the radical.
2. For each pair of same numbers, one can come out of the radical.
3. Any number left inside remains under the radical.

For instance, let's simplify √18:

1. The prime factors of 18 are 2, 3, and 3.
2. Out of the pair of 3's, one 3 can come out of the radical.
3. We are left with 2 inside the radical. So, the simplified version of √18 is 3√2.

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