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Lapatulllka [165]
3 years ago
9

Okay... so like here's the thing... I compleatly forgot how to do this and I don't know why... (probably because I'm stupid...)

and the notes I took make no sense... all I know is what ever my teacher did, it was something a bit more complecated... I think, sorry for being ( enter choice of word. e.x. Stupid, dumb, ect.)
Question: √144 how do I rewrite the radical while extracting all the perfect sqares.
Mathematics
1 answer:
elixir [45]3 years ago
4 0

Answer:

Step-by-step explanation:

The number itself is a perfect square, so it's going to be hard to do.  What I'm trying to say is that there won't be anything left over underneath the square root sign.

Perfect squares.

144: 4 * 36

√144 = √(4 * 36)

√144 - √4*√36

√144 = 2 * 6 = 12.

In my opinion, the better way to do it is to factor the number down to it's primes. This works much better with larger numbers.

Suppose you want √480

480: 2 * 240

480: 2 * 2 * 120

480: 2 * 2 * 2 * 60

480: 2 * 2 * 2 * 2 * 30

480: 2 * 2 * 2 * 2 * 2 * 15

480: 2 * 2 * 2 * 2 * 2 * 3 * 5

How do you know when to quit? There are 2 rules.

  • Keep dividing by a prime until it gives you a decimal remainder.
  • Keep dividing by the next prime until you have nothing but primes.

So now we have

√480 = √(2 * 2 * 2 * 2 * 2 * 3 * 5)

Here's your last rule: for every pair of like factors you take out one from underneath the root and throw the other one away.

√480 = 2 * 2√ 2 * 3 * 5

√480 = 4√30

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slader How many partitions of the set {1, 2, 3, . . . , 100} are there such that there are exactly three parts and elements 1, 2
My name is Ann [436]

Answer:

3^{97} partitions.

Step-by-step explanation:

As we know if we have x number of elements we can arrange them in x! ways.

here we have 100 elements so we can arrange them in 100! ways.

Now if we have exactly three parts and 1,2 and 3 are in different parts then let consider 1 goes to part 1, 2 goes to part 2, and 3 goes to part 3. For the remaining 97 elements,  we have three options for each element, thus we can arrange the remaining 97 elements in 3^{97} ways/partitions.

each of these partition will contain only three elements.

7 0
4 years ago
Describe the position of the polar coordinates on the polar plane for (4,120).
Otrada [13]
Clearly r=4 corresponds to a point on the fourth "circle" in the plane. \theta=120^\circ is a rotation of 120 degrees counter-clockwise relative to the positive side of the horizontal axis, which corresponds to a clockwise turn of 360 - 120 = 240 degrees.

This means (C) is the answer.
6 0
4 years ago
Solve the system of linear equations by substitution 2x-y=6 x=y-1
Oksana_A [137]

substitute x for y-1
2(y-1)-y=6 distribute
2y-2-y=6 subtract y in 2y
y-2=6 add 2 to get y by itself
y=8

Put y back into equation x=y-1
x=8-1
X=7
6 0
3 years ago
2x + 5y = 6
Snezhnost [94]

Step-by-step explanation:

Given equations

2x + 5y = 6 .......i)

2x = 10 - 3y...... II)

Putting 2x = 10 - 3y in equation i

10 - 3y + 5y = 6

2y = 6 - 10

2y = - 4

y = - 4 / 2

y = - 2

Now putting y = - 2 in equation ii

2x = 10 - 3 * ( - 2)

2x = 10 + 6

2x = 16

x = 16 / 2

x = 8

So x = 8 and y = - 2

Hope it will help :)❤

7 0
3 years ago
Whats 34* 12 i have no idea I'm only 9
Alinara [238K]
<h2 /><h2>34 \times 12 = 408</h2>

Multiply 1 & 2 from 3 and 4 respectively and add to get product.

<em>-</em><em> </em><em>BRAINLIEST</em><em> answerer</em>

3 0
3 years ago
Read 2 more answers
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