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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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Answer: 16.

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What is the vertex of the graph of the function f(x) = x2 + 8x - 2?
vlabodo [156]

Answer:

Vertex is (-4, -18)

Step-by-step explanation:

f(x) = ax^{2} +bx +c

Let (h, k) be the vertex

An easy way to find h is to use the formula h = -b/2a

In your case where f(x) = x^{2} +8x - 2   a = 2 and b = 8

So, h =  -8/2(1) = -8/2 = -4

Substitue -4 in for x to find k

k = (-4^{2}) + 8(-4) - 2

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  = 16 - 32 - 2

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Vertex is (-4, -18)

Note:  Another way to find the vertex is to complete the square, but this can really be difficult in some cases

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Help please! the question is in the picture below for reference when answering! thank you so much!
stepan [7]

Answer:

x = -1

Step-by-step explanation:

AB + BC = AC = 28

the way from A to C goes through B.

so, the total way of A to C is the sum of the way from A to B and then from B to C.

=>

(5x + 10) + (2x + 25) = 28

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Answer:

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