Answer:
Step-by-step explanation:
B is the answer
Answer:
1. Assume the contrary, namely that √2 + √3 + √5 = r, where r is a rational number.
Square the equality √2 + √3 = r − √5 to obtain 5 + 2
√6 = r2 + 5 − 2r
√5. It follows
that 2√6 + 2r
√5 is itself rational. Squaring again, we find that 24 + 20r2 + 8r
√30
is rational, and hence √30 is rational, too. Pythagoras’ method for proving that √2 is
irrational can now be applied to show that this is not true. Write √30 = m
n in lowest
terms; then transform this into m2 = 30n2. It follows that m is divisible by 2 and because
2( m
2 )2 = 15n2 it follows that n is divisible by 2 as well. So the fraction was not in lowest
terms, a contradiction. We conclude that the initial assumption was false, and therefore
√2 + √3 + √5 is irrational.
Step-by-step explanation:
Answer:
n = 6
Step-by-step explanation:
Since the triangles are similar then the ratio of corresponding sides are equal, that is
= 
, substitute values
= 
( cross- multiply )
6n = 36 ( divide both sides by 6 )
n = 6
Answer:52
Step-by-step explanation:
How many times can 8 go into 4. 0 so how many times can 8 go into 41 without going over 41.
8 x 5 = 40
41 - 40 = 1
bring down the next number which is 6
16 how many times can 8 go into 16, 2.
8 x 2 = 16
16 - 16 = 0
