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Murrr4er [49]
2 years ago
11

Square root of 5 + square root of 3 the whole divided by sqaure root of 5 - square root of 3

Mathematics
1 answer:
xxMikexx [17]2 years ago
3 0

Answer:

The answer is 4 + √15 .

Step-by-step explanation:

You have to get rid of surds in the denorminator by multiplying it with the opposite sign :

\frac{ \sqrt{5}  +  \sqrt{3} }{ \sqrt{5}  -  \sqrt{3} }

=  \frac{ \sqrt{5} +  \sqrt{3}  }{ \sqrt{5}  -  \sqrt{3} }  \times  \frac{ \sqrt{5}  +  \sqrt{3} }{ \sqrt{5}  +  \sqrt{3} }

=  \frac{ {( \sqrt{5} +  \sqrt{3} ) }^{2} }{( \sqrt{5} -  \sqrt{3} )( \sqrt{5}  +  \sqrt{3})  }

=   \frac{ {( \sqrt{5} )}^{2}  + 2( \sqrt{5} )( \sqrt{3}) +  {( \sqrt{3}) }^{2}  }{ {( \sqrt{5}) }^{2} -  { (\sqrt{3} )}^{2}  }

=  \frac{5 + 2 \sqrt{15} + 3 }{5 - 3}

=  \frac{8 + 2 \sqrt{15} }{2}

= 4 +  \sqrt{15}

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Eight randomly selected customers at a local grocery store spent the following amounts on groceries in a single visit: $216, $18
chubhunter [2.5K]

Answer:

a) 910

b) 828100

c) 144320

Step-by-step explanation:

a. ∑y

This is the sum of all values of y. So

\sum y = 216 + 184 + 35 + 92 + 142 + 175 + 9 + 57 = 910

b. (∑y)^2

This is the square of the sum, so the square of 910, that we found in the previous item.

910² = 828100

c. ∑y^2

This is the sum of the squares of each amount spent. So

\sum y^2 = 216^2 + 184^2 + 35^2 + 92^2 + 142^2 + 175^2 + 9^2 + 57^2 = 144320

8 0
3 years ago
What is the solution to the following equation? 5(2x − 14) + 23 = 7x − 14
g100num [7]
X=11

 Hope this helps your welcome
7 0
3 years ago
Read 2 more answers
PLASE ANSWER THIS QUESTION ​I GIVE YOU 18 POINTS
sukhopar [10]

Answer:

(a) 144

(b) 117

(c) 360

(d) 588

(e) 5472

Step-by-step explanation:

To find the LCM of two numbers, first find the prime factorization of each number. Then the LCM is the product of common and not common factors with the larger exponent.

2.

(a)

72 = 2^3 \times 3^2

144 = 2^4 \times 3^2

LCM = 2^4 \times 3^2 = 8 \times 9 = 144

(b)

39 = 3 \times 13

117 = 3^2 \times 13

LCM = 3^2 \times 13 = 117

(c)

72 = 2^3 \times 3^2

90 = 2 \times 3^2 \times 5

LCM = 2^3 \times 3^2 \times 5 = 360

(d)

84 = 2^2 \times 3 \times 7

147 = 3 \times 7^2

LCM = 2^2 \times 3 \times 7^2 = 588

(e)

152 = 2^3 \times 19

288 = 2^5 \times 3^2

LCM = 2^5 \times 3^2 \times 19 = 5472

6 0
2 years ago
The following two triangles are similar find x
slavikrds [6]

Answer:

5

Step-by-step explanation:

As we can see they are similar triangles then

the ratio of the corresponding sides are equal then

x /25 = 9/45

x = 25 * 1/ 5

x = 5

Hope it will help :)

5 0
3 years ago
Read 2 more answers
I already know the answer but ima check and see.
maw [93]
I got 2.29 is the difference and debras cows made more obviously

Fraction form is 229/100


MARK ME BRAINLIEST PLEASE
3 0
2 years ago
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