Question

Simplify the square root of (x+1)^4

Answer 1

Given
sqrt ( x + 1) = 4

We raise both sides to power 2 in order to clear the square root.
[ sqrt ( x + 1) ] 2 = 4 2

and simplify
x + 1 = 16

Solve for x.
x = 15

NOTE: Since we squared both sides without putting any conditions, extraneous solutions may be introduced, checking the solutions is necessary.

Left side (LS) of the given equation when x = 15

LS = sqrt (x + 1) = sqrt (15 + 1) = 4

Right Side (RS) of the given equation when x = 15

RS = 4

For x = 15, the left and the rigth sides of the given equation are equal: x = 15 is a solution to the given equation.
Example 2 : Find all real solutions to the equation

Answer 2

(x+1) is raised to four

Answer 3

what was all that gibberish?

Answer 4

the square root of something raised to the power of four is that something raised to the power of 2

Answer 5

lol

Answer 6

can you make it clear?

Answer 7

lol it broke it all down

Answer 8

wait this is the given \[\sqrt{(x+1)^4} \]

Answer 9

yeah my bad

Answer 10

@No.name your real funny im trying to help her

Answer 11

\[\huge [(x+1)^2]^2\]
right?

Answer 12

stop

Answer 13

\[\sqrt{x^4}=x^2\\
\sqrt{(x+1)^4}=(x+1)^2\]

Answer 14

so i was right

Answer 15

thank you

Answer 16

haha

Answer 17

lol