Question
Compare and write <, > or =
- <
- >
- =
- None of the above
Hint:
A number's square root is a value that, when multiplied by itself, yields the original number. The other way to square an integer is to find its square root. Squares and square roots are hence linked ideas.
Here we have given two expressions and we have to put the comparison sign for that.
The correct answer is: <
So the expression which is provided is:
Now we have to put the sign out of greater than, less than and equal to. Before that we need to simplify the terms.
Squaring both the expressions, we get:
Here we will use the formula:
Expanding it, we get:
Simplifying it, we get:
Cancelling 
from both sides, we get:
Here we can see that clearly Right hand side term is greater than left term.
So: 
Here we used the concept of square root. With the help of that we simplified the given terms from both sides using the algebraic formula and then found out the correct sign that needs to be there!
Related Questions to study
Which point most closely corresponds to the 
on the number line below?
Which point most closely corresponds to the on the number line below?
What is the approximate value of 
So we got the number 12 to find the square root. 12 is not a perfect square so we did a long division method to understand the concept and find out the root. Long division method is explained via text with a reference image. The final answer is 3.464
What is the approximate value of
So we got the number 12 to find the square root. 12 is not a perfect square so we did a long division method to understand the concept and find out the root. Long division method is explained via text with a reference image. The final answer is 3.464
In between what two integers is the square root of 77?
So in this question we the number 77 was given for which we have to find out in between which numbers its square root is present. So after using the square roots of two numbers we found out that the square root of 77 lies in between 8 and 9 which will be decimal number and not the whole number.
In between what two integers is the square root of 77?
So in this question we the number 77 was given for which we have to find out in between which numbers its square root is present. So after using the square roots of two numbers we found out that the square root of 77 lies in between 8 and 9 which will be decimal number and not the whole number.
falls between what two numbers on a number line?
is between which two numbers?
is between which two numbers?
is ___________.
