Question

Express the square root of 63 in the simplest radical form

Answer 1

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Answer and Step-by-step explanation:

Let's write 63 as 9 × 7:

√63 = √(9 × 7)

√63 = √9 × √7

We know the square root of 9:

√63 = 3 ×√7

We can simply write it as

√63 = 3√7

Done!

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Answer 2

Answer: 3√7

Explanation:

To express the square root of 63 in the simplest radical form, we need to find the largest perfect square that divides 63, and then simplify the expression.

63 can be factored as 3 × 3 × 7, or 3² × 7. Therefore:

• √63 = √(3² × 7)

Since a product's square root equals the sum of its square roots., we can rewrite the expression as:

• √63 = √(3²) × √7

Now, we can simplify the square root of 3², which is 3:

• √63 = 3√7

So, the simplest radical form of the square root of 63 is 3√7.

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