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Alex787 [66]
3 years ago
11

What does "rationalizing" the denominator mean?

Mathematics
2 answers:
Mkey [24]3 years ago
6 0

Answer:

"To rationalize the denominator means to eliminate any radical expressions in the denominator such as square roots and cube roots." It is done usually by multiplying both numerator and denominator by the radical expression or another expression including the radical to be eliminated.

Step-by-step explanation:

svetlana [45]3 years ago
5 0

Answer:

It simply means getting rid of the square root or radical in the denominator

Step-by-step explanation:

Rationalizing the denominator simply means getting rid of the square root or radical symbol in the denominator thereby making the denominator to be just a whole number.

For example if we want to rationalize the denominator in; 3/√2

We will multiply the numerator and the denominator by √2 to get rid of the radical in the denominator which is the square root sign.

Thus;

(3/√2) × (√2)/(√2)

This gives;

(3√2)2

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Solve for x: x^2 + 14x + 49
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Answer: -7twice

Step-by-step explanation:

This is a question on root of quadratic equation. The interpretation of the question

x² 14x + 49 is

x² + 14x + 49 = 0.meaning that we are to find two possible values for x that will make the expression equal 0.

We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods

x² + 14x + 49 = 0

Now, find the product of the first and the last terms, is

x² × 49 = 49ײ

Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.

We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors .

49x² = 7x × 7x and the sum gives 14x the middle terms..

Now we now replace the middle one by the factors and then factorize by grouping.

x² + 14x + 49 = 0

x² + 7x + 7x + 49 = 0

x(x + 7) + 7(x + 7) = 0

(x + 7)(x + 7). = 0

Now to find this value of x,

x + 7 = 0

x. = -7twice.

The root of the equation = -7twice.

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