Help me in Algerbra?

Question

I can't figure out how to do these.

Find a counterexample to show that the statement is not true.

^=square root
^a2(squared)+b2(squared)=a+b

Answer 1

Let [ = square root and ^ signify an exponent

[ (a^2 + b^2) = a + b
Is not true, for example
[ (0^2 + 1^2) = [1 and does not = 0 + 1
Another example
[ (4^2 + 2^2) = [ (16 + 4) = [ 20 = 2[5 does not equal 4 + 2

Answer 2

is the square root around both a and b or just a?
I will assume its around both.
so a counterexample would be ^(3(squared)+4(squared))= ^(9 + 16) = ^(25) = 5
but a + b = 3+4 =7 which is not equal to 5

Answer 3

Jeez Dewd.......... Find a counterexample. That means find 2 numbers (call them a and b) such that
√(a²+b²) is not equal to a+b.

How about 3 and 4?
√(3²+4²)=√(9+16) = √(25) = 5 and
3+4=9

HTH

Doug

Answer 4

sqrt(a^2 + b^2) =? a +b
Let a = 1 and b=2
Then sqrt(1^2 +2^2) =? 1+2
sqrt (1+4) =? 1+2
sqrt(5) =? 3
sqrt(5) not = 3, so this counterexample shows that sqrt(a^2+b^2) = a+b is false.

Answer 5

^(-5)2(sq)+^22(sq)=29
-5+2=-3