5+a-4√(a+1)/(a-3) is the simplified form of the number. This can be obtained by multiplying numerator and denominator with conjugate of the denominator.
<h3>Simplify the number:</h3>
Given the number,
√a+1-2/√a+1+2
Denominator = √a+1+2
Conjugate of the denominator = √a+1 - 2
Now, (√a+1-2)(√a+1 - 2 )/√(a+1+2)(√a+1 - 2 )
=(√a+1 - 2 )²/(√a+1)² - 4
=(a+1 -4√a+1+5)/(a+1-4)
=5+a-4√(a+1)/(a-3)
Hence 5+a-4√(a+1)/(a-3) is the simplified form of the number.
Learn more about rational numbers:
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Answer:
$253.5
Step-by-step explanation:
Total amount saved = Amount Rhonda saved + Amount Margo saved
= $478.50 − $225
Amount Margo saved = $253.5
The problems with extra information, are difficult to solve because sometimes, not all data should be used.
Therefore, students begin to doubt the fact that they are not using all the information raised in the problem.
Example:
Problem:
Suppose we have a triangle with a right angle. The problem gives us as data an angle and the sides of the triangle. We want to determine the length of the hypotenuse.
Solution:
Using the Pythagorean theorem we can solve the problem.
The given angle data is an extra information that you should not use for this case.
Answer:
y≥14
Step-by-step explanation:
Add 27 to both side so
y-27+27≥-13+27
so
y≥14
Answer:
30
Step-by-step explanation: