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jeyben [28]
2 years ago
8

1st. (2 root 2 + root 3 ) ( 2 root 3 - root 2)

Mathematics
1 answer:
satela [25.4K]2 years ago
8 0

Answer:

1st: 3*root6 + 5

2nd: 35*root2 + 115

3rd: 24*root2 - 20*root6 + 15*root3 - 18

4th: 17*root6 - 38

5th: 13*root10 - 42

Step-by-step explanation:

To simplify these expressions we need to use the distributive property:

(a + b) * (c + d) = ac + ad + bc + bd

So simplifying each expression, we have:

1st.

(2 root 2 + root 3 ) ( 2 root 3 - root 2)

= 4*root6 - 2*2 + 2*3 - root6

= 3*root6 - 4 + 9

= 3*root6 + 5

2nd.

(root 5 + 2 root 10) (3 root 5 + root 10)

= 3 * 5 + root50 + 6*root50 + 2*10

= 15 + 5*root2 + 30*root2 + 100

= 35*root2 + 115

3rd.

(4 root 6 - 3 root 3) (2 root 3 - 5)

= 8*root18 - 20*root6 - 6*3 + 15root3

= 24*root2 - 20*root6 + 15*root3 - 18

4rd.

(6 root 3 - 5 root 2 ) (2 root 2 - root 3)

= 12*root6 - 6*3 - 10*2 + 5*root6

= 17*root6 - 18 - 20

= 17*root6 - 38

5th.

(root 10 - 3 ) ( 4 - 3 root 10)

= 4*root10 - 3*10 - 12 + 9*root10

= 13*root10 - 30 - 12

= 13*root10 - 42

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2 years ago
This recipe makes 6 portions of chocolate mousse.
trasher [3.6K]

Answer:

Chocolate - 420g

Eggs - 27

Lemon juice - 85ml

Sugar - 140g

Step-by-step explanation:

Given that:

Initial amount of ingredients:

Chocolate - 600g

Eggs - 36

Lemon juice - 100ml

Sugar - 200g

Amount of ingredients used :

Chocolate - 180g

Eggs - 9

Lemon juice - 15ml

Sugar - 60g

Amount of ingredient left :

Initial amount - Amount used :

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Eggs : 36 - 9 = 27

Lemon juice : 100ml - 15ml = 85ml

Sugar : 200g - 60g = 140g

4 0
2 years ago
Meagan wants to make 2 1/3 batches of muffins. The recipe calls for 1 1/2 cups of sugar per batch. How much sugar will she need?
wlad13 [49]

Answer:

1 5/9 OR 14/9

Step-by-step explanation:

First we need to find out what the question is asking. How much sugar will she need if she wants to make 2 1/3 batches?

Next, we must see if we need to divide, subtract, multiply, or add. We need to divide.

2 1/3 divided by 1 1/2

Convert mixed numbers to improper fractions: 2 1/3=7/3   1 1/3=3/2

Apply the fraction rule a/b/c/d=a*d/b*c: 7*2/3*3

14/9 OR 1 5/9

3 0
3 years ago
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