Order Of Operations With Square Roots
Order of operations is one of the concepts of solving algebraic expressions
. With the help of PEDMAS rule we can easily simplify the algebraic expression. Suppose the given algebraic expression contains square root values we have to solve that square root values separately then we can solve the expressions. In this article we are going to study about the Order of operations with square roots.
Brief Summary about Order of Operations with Square Roots
PEDMAS Rule:
Parentheses:
The letter P represents the meaning of parentheses. First we have to solve the value which is inside the parentheses if it contains square roots we have to solve that square roots and then simplify the parentheses values.
Exponents:
The letter E represents the meaning of Exponents. Next we have to solve the power values.
Division:
The letter D represents the meaning of Division. Then we have to solve the division values suppose it contains square roots we have to solve that square roots and then simplify the division values.
Multiplication:
The letter M represents the meaning of Multiplication. Then we have to solve the multiplication values suppose it contains square roots we have to solve that square roots and then simplify the multiplication values.
Addition:
The letter A represents the meaning of Addition. Then we have to solve the addition values suppose it contains square roots we have to solve that square roots and then simplify the addition values.
Subtraction:
The letter S represents the meaning of Subtraction. Then we have to solve the subtraction values suppose it contains square roots we have to solve that square roots and then simplify the subtraction values.
Example Problems on Order of Operations with Square Roots
Example 1:
Solve the following algebraic expression 82 + ( 'sqrt (25)' +2) 5 -'10/2'
Solution:
The given expression is 82 + ( 'sqrt (25)' +2) 5 -'10/2'
Step 1: 82 + (5 +2) 5 -'10/2'
Step 2: 82 + 7 x 5 -'10/2'
Step 3: 64 + 7 x 5 -'10/2'
Step 4: 64 + 7 x 5 -5
Step 5: 64 + 35 -5
Step 6: 64+30
Step 7: 94
This is solution of the given expression.
Example 2:
Solve the following algebraic expression '(sqrt (100)) /10'
Solution:
The given expression is '(sqrt (100)) /10'
Step 1: '10/10'
Step 2: 1
This is solution of the given expression.
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The square footage is an U.S. normal unit of area, used mostly in the United States, the United Kingdom, Hong Kong, Japan, Afghanistan and Canada. It is clear as the area of a square by means of sides of 1 foot in length. A sign for square foot, square feet, and "per square foot" are regularly used in structural design, actual land and interior room plans is a simple square through a perpendicular line bisecting it.
Example Problems:
A simple calculator used to calculate in square footage and let we see about in picture format :
The calculator used with out values.
square footage calculater with out inserted values
The calculator used with values :
The calculator used with values
The above calculator functions with when the values inserted in width and height means it functions with multiplication operations between height and length to get the total footage.
Problem 1: Determine the area of square that has the side measure of 22 feet.
Solution:
Given the side measure of the square is 22 feet.
The formula used to find the area of the square is a2.
Area = a2
Here the value is a = 22.
Plug-in the value 22 in the formula
a2 = 222
a2 = 22 X 22
The product of 22 and 22 is 484.
Therefore, the area of square is 484 square footage.
Problem 2 : Determine the area of square that has the side measure of 44 feet.
Solution: Given the side measure of the square is 44 feet.
The formula used to find the area of the square is a2.
Area = a2
Here the value is a = 44.
Plug-in the value 22 in the formula
a2 = 442
a2 = 44 X 44
The product of 44 and 44 is 1936.
Therefore, the area of square is 1936 square footage.
Practice Problems:
Problem 1 : Calculate the area of the rectangle that has the computes of length 18 feet and breadth 12 feet.
Answer: The area of the rectangle is 216 square footage.
Problem 2 : Determine the area of square that has the side measure of 7 feet.
Answer : The area of square is 49 square footage.
by: mathqa
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