Which is irrational?
square root of 1, square root of 4, or square root of 3?
square root of 3
x2+2x+1
Yes
i3
Simplify and exclude values
x-10 over 10x2-100x
1 over 10x ; {0, 10}
Rewrite into log statement
125=53
log5(125)=3
Solve
(sqaure root of 3)(sqaure root of 3)
3
Is this a perfect quadratic?
x2-9
No
i400
1
10a+8 over 3a
2(5a+4) over 3a ; {0}
rewrite into log statement
ex=9
ln9=x
simplify
1 over [2(square root of 3)]
square root of 3 over 6
Is this a perfect square?
x2+9
What are its factors?
No
(x+3i)(x-3i)
simplify
2i over 4i2
-i over 2
Simplify and eclude values
49a2+63 over 14a2+28a
7a+9 over 2a+4 ; {0, -2}
Rewrite into exponential statement
ln(x)=5
e5=x
(1 over square root of 3)(square root of 2 over square root of 5)
square root of 30 over 30
Turn it into a perfect square
x+2x+3=0
x2+2x+1=-2
Solve
(2i over i)(3i over 5)
6i over 5
Simplify the expression
1 over 3x-9 divided x+6 over 12x-36
4 over x+6
rewrite into exponential form
ln(3)=x
ex=3
square root of 3 times square root of 5 over square root of 10
2(square root of 30)
Turn into perfect quadratic and solve
x2+6x-20=0
{-3+ square root of 29, -3- square root of 29}
Factor and solve
x3+25x=0
{0, -5i, 5i}
Simplify the expression
(3v+5 over v2+19v+90)(v-2 over 3v+5)
v-2 over (v+9)(v+10)
Evaluate basic log statement
log2(32)=?
log2(32)=5