Answer:
The simplest radical form is ⇒ (c)
Step-by-step explanation:
To simplify any square root;
- Factorize the number under the root using prime numbers
- Take out the root any number repeated twice as one number
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<em><u>Examples:</u></em>
1. Simplify
factorize 8 using prime numbers
8 = 2 × 2 × 2, then
Take two of 2 out the root, then
2. Simplify
factorize 18 using prime numbers
18 = 2 × 3 × 3, then
Take the two 3 out the root, then
Let us simplify
∵ 45 = 3 × 3 × 5
∴
→ Take the two 3 out by one 3
∴
→ Multiply the numbers out the root
∴
∴ The simplest radical form is