INFORMATION

SQUARE ROOT BETWEEN TWO INTEGERS

Assume $\mathbf{\color{#3a5998}x}$ is a non-perfect integer. If

• $\mathbf{\color{chocolate}y_1}$ is the greatest perfect square less than $\mathbf{\color{#3a5998}x}$ and
• $\mathbf{\color{chocolate}y_2}$ is the smallest perfect square greater than $\mathbf{\color{#3a5998}x}$

then, $\mathbf{\sqrt{\color{#3a5998}x}}$ is between $\mathbf{\sqrt{\color{chocolate}y_1}}$ and $\mathbf{\sqrt{\color{chocolate}y_2}}$

$\mathbf{\sqrt{\color{chocolate}y_1}}$ < $\mathbf{\sqrt{\color{#3a5998}x}}$ < $\mathbf{\sqrt{\color{chocolate}y_2}}$

Because $\mathbf{\color{chocolate}y_1}$ and $\mathbf{\color{chocolate}y_2}$ are perfect squares $\mathbf{\sqrt{\color{chocolate}y_1}}$ and $\mathbf{\sqrt{\color{chocolate}y_2}}$ are integers whose difference is equal to one.

WHAT IS SQUARE ROOT BETWEEN TWO INTEGERS CALCULATOR?

Square root between two integers calculator,

• Finds the closest two integers to an entered square root,
• Describes all solution steps and
• Gives additional information about the entered number.

HOW TO USE SQUARE ROOT BETWEEN TWO INTEGERS CALCULATOR?

You can use square root between two integers calculator in two ways.

• USER INPUTS

  

  You can enter the radicand to the input box 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, a random number is 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 for another square root you can clear the input box by clicking on the CLEAR button under the input box.

• COPYING & DOWNLOADING THE SOLUTION

  • 

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

  • 

    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.