Question

Graph the square roots on the number line. −√36, √254, −√12.25, ±√49, −√1694

Answer 1

To graph the square roots, calculate each root and plot them on the number line: -6, approximately +15.937, -3.5, ±7, and approximately -41.155.

Step-by-step explanation:

To graph the square roots on a number line, you first need to calculate the square root values of the numbers given.

• √36 is 6, so -√36 is -6.
• √254 is approximately 15.937, as it's not a perfect square.
• √12.25 is 3.5, so -√12.25 is -3.5.
• ±√49 means you have two values, +7 and -7 because the square root of 49 is 7.
• √1694 is approximately 41.155, so -√1694 is approximately -41.155.

On a number line, you would place points at -6 for -√36, approximately +15.937 for √254, -3.5 for -√12.25, both +7 and -7 for ±√49, and approximately -41.155 for -√1694.