INFORMATION

INTEGERS BETWEEN TWO SQUARE ROOTS

Assume $\mathbf{\color{#3a5998}a}$ and $\mathbf{\color{#3a5998}b}$ are natural numbers and $\mathbf{\color{#3a5998}a}$ < $\mathbf{\color{#3a5998}b}$.

The smallest integer greater than $\mathbf{\sqrt{\color{#3a5998}a}}$ is equal to the square root of the smallest perfect square greater than $\mathbf{\color{#3a5998}a}$. Let's denote this integer by $\mathbf{\color{olive}x}$.

Similarly, the greatest integer less than $\mathbf{\sqrt{\color{#3a5998}b}}$ is equal to the square root of the greatest perfect square less than $\mathbf{\color{#3a5998}b}$. Denote this integer by $\mathbf{\color{purple}y}$.

Provided that $\mathbf{\color{olive}x}$ ≤ $\mathbf{\color{purple}y}$, all the integers $\mathbf{\color{olive}x}$ through $\mathbf{\color{purple}y}$ (including $\mathbf{\color{olive}x}$ and $\mathbf{\color{purple}y}$) are between $\mathbf{\sqrt{\color{#3a5998}a}}$ and $\mathbf{\sqrt{\color{#3a5998}b}}$.

WHAT IS INTEGERS BETWEEN TWO SQUARE ROOTS CALCULATOR?

Integers between two square roots calculator,

• Finds the number of integers between the entered square roots,
• Gives the list of the integers between the entered square roots and
• Describes all solution steps.

HOW TO USE INTEGERS BETWEEN TWO SQUARE ROOTS CALCULATOR?

You can use the integers between two square roots calculator in two ways.

• USER INPUTS

  

  You can enter the radicands to the input boxes and click on the "CALCULATE" button. The result and explanations appaer below the calculator

• RANDOM INPUTS

  

  You can click on the DIE ICON next to the input box. If you use this property, two random numbers are generated and entered to the calculator, automatically. You can see the result and explanations below the calculator. You can create your own examples and practice using this property.

• CLEARING THE INPUT BOX

  

  To check the integers between the square roots you can clear the input boxes by clicking on the CLEAR button under the input box.

• COPYING & DOWNLOADING THE SOLUTION

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    You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.

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    Even you can download the solution as an image file with .jpg extension if you click on the "Download Solution" link at the bottom of the solution panel. You can share the downloaded image file.