= Exponents, Polynomials, and Radicals
Estimating a square root
Find two consecutive whole numbers that lies between.
and

Ask by Powers Ortiz. in the United States

Jan 24,2025

Question

= Exponents, Polynomials, and Radicals Estimating a square root Find two consecutive whole numbers that $$ \sqrt{107} $$ lies between. $$ \square $$ and $$ \square $$

UpStudy AI · Accepted Answer

To estimate $$\sqrt{107}$$ and find the two consecutive whole numbers it lies between, follow these steps:

1. **Identify Perfect Squares Near 107:**
   - $$10^2 = 100$$
   - $$11^2 = 121$$

2. **Determine the Interval:**
   - Since $$100 < 107 < 121$$, it follows that $$10 < \sqrt{107} < 11$$.

**Conclusion:** The square root of 107 lies between **10** and **11**.

$$
10 \quad \text{and} \quad 11
$$
The square root of 107 lies between 10 and 11.

= Exponents, Polynomials, and Radicals
Estimating a square root
Find two consecutive whole numbers that lies between.
and

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= Exponents, Polynomials, and Radicals Estimating a square root Find two consecutive whole numbers that lies between. and