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elixir [45]
3 years ago
9

Show that 1/ 1+ √2 + 1 /√2+√3 = -1 + √3

Mathematics
2 answers:
laila [671]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

1/( 1+√2) + 1 /(√2+√3)

Multiply both fractions by the conjugate of the denominators:

= (1 -√2) / (1 +√2)(1 - √2)  +  (√2 - √3) / (√2 + √3)(√2 - √3)

= (1 - √2) / -1  +   (√2 - √3) / -1

= -1 + √2 - √2 + √3

= -1 + √3 as required.

m_a_m_a [10]3 years ago
4 0

Answer:

here is your answer...

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Help please!!! Thxxxxxx
Alika [10]

Answer:

40 degrees

Step-by-step explanation:

Angle ACO = 80 ( 180 - 100)

Angle CAO = 60 (180 - 120)

Angle AOC = 40 (180 - 80 - 60) (TOTAL DEGREES OF A TRIANGLE IS 180)

8 0
3 years ago
Claire jogs 6 miles per hour and Megan jogs 5 miles per hour. they start together at their campsite and jog to an outpost 18 mil
horrorfan [7]

Answer:

16.364 miles

Step-by-step explanation:

Speed of Claire = 6 miles per hour

Speed of Megan= 5 miles per hour

Distance from camp site to out post = 18 miles

Time for Claire to travel=18/6= 3 hours

Time for Megan to travel = 18/5 = 3.6 hours

The time they meet will be equal

Claire distance= 18 + x

Megan distance = 18-x

Claire time =( 18+x)/6

Megan Tim =( 18-x)/5

(18+x)/6 =(18-x)/5

5(18+x)= 6(18-x)

90 +5x = 108-6x

11x=18

X=18/11

X=1.636 Miles

So the distance from the Outpost to where they meet = 18-1.636

= 16.364 miles

6 0
3 years ago
There are two mystery numbers. The sum of 7 times the first number and 5 times the second number is -11. The sum of 10 times the
AlekseyPX
First is 2, second is -5
8 0
3 years ago
What is the area of the parallelogram?
Alja [10]
It’s 45, as the equation for a parallelogram is A= bxh, and 9x5 is 45
5 0
2 years ago
Read 2 more answers
Need Help With This:​
Pavlova-9 [17]

Answer:

230 * (30/100) = 23 * 3 = 69

Step-by-step explanation:

This one can be learned by heart: "what is 30% of 230" means "calculate 30/100 times 230".

5 0
3 years ago
Read 2 more answers
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