Question

12. The square root of a number is a whole number between 50 and 100. What do you know about the number?

13. Could the square root of a whole number ever be greater than the number is? Explain.

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Answer 1

Answer:The radical symbol √ is used to indicate the square root. For example, √16 = 4. The radical symbol is also called a root symbol or surds. If a number is a perfect square, we can easily find the squar

Explanation:

Answer 2

• See below

Explanation:

#12

The square root of a number is a whole number between 50 and 100.

Let the number be n, given:

• 50 < √n < 100

Square both sides:

• 50² < n < 100²
• 2500 < n < 10000

The number is a perfect square between 2500 and 10000.

#13

Let the number is n:

• √n > n

Square both sides:

• n > n²
• n² - n < 0
• n(n - 1) < 0

Solution is:

• 0 < n < 1

The answer is yes, the number must be between 0 and 1.