# Solve using the Square Root Property 16=(w^2+6)(6) 16=(w2+6)(6)
Rewrite the equation as (w2+6)(6)=16.
(w2+6)(6)=16
Divide each term by 6 and simplify.
Divide each term in (w2+6)(6)=16 by 6.
(w2+6)(6)6=166
Cancel the common factor of 6.
Cancel the common factor.
(w2+6)⋅66=166
Divide w2+6 by 1.
w2+6=166
w2+6=166
Cancel the common factor of 16 and 6.
Factor 2 out of 16.
w2+6=2(8)6
Cancel the common factors.
Factor 2 out of 6.
w2+6=2⋅82⋅3
Cancel the common factor.
w2+6=2⋅82⋅3
Rewrite the expression.
w2+6=83
w2+6=83
w2+6=83
w2+6=83
Move all terms not containing w to the right side of the equation.
Subtract 6 from both sides of the equation.
w2=83-6
To write -6 as a fraction with a common denominator, multiply by 33.
w2=83-6⋅33
Combine -6 and 33.
w2=83+-6⋅33
Combine the numerators over the common denominator.
w2=8-6⋅33
Simplify the numerator.
Multiply -6 by 3.
w2=8-183
Subtract 18 from 8.
w2=-103
w2=-103
Move the negative in front of the fraction.
w2=-103
w2=-103
Take the square root of both sides of the equation to eliminate the exponent on the left side.
w=±-103
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Rewrite -1 as i2.
w=±i2(103)
Pull terms out from under the radical.
w=±i103
Rewrite 103 as 103.
w=±i(103)
Multiply 103 by 33.
w=±i(103⋅33)
Combine and simplify the denominator.
Multiply 103 and 33.
w=±i(10333)
Raise 3 to the power of 1.
w=±i(10333)
Raise 3 to the power of 1.
w=±i(10333)
Use the power rule aman=am+n to combine exponents.
w=±i(10331+1)
Add 1 and 1.
w=±i(10332)
Rewrite 32 as 3.
Use axn=axn to rewrite 3 as 312.
w=±i(103(312)2)
Apply the power rule and multiply exponents, (am)n=amn.
w=±i(103312⋅2)
Combine 12 and 2.
w=±i(103322)
Cancel the common factor of 2.
Cancel the common factor.
w=±i(103322)
Divide 1 by 1.
w=±i(1033)
w=±i(1033)
Evaluate the exponent.
w=±i(1033)
w=±i(1033)
w=±i(1033)
Simplify the numerator.
Combine using the product rule for radicals.
w=±i(10⋅33)
Multiply 10 by 3.
w=±i(303)
w=±i(303)
Combine i and 303.
w=±i303
w=±i303
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the ± to find the first solution.
w=i303
Next, use the negative value of the ± to find the second solution.
w=-i303
The complete solution is the result of both the positive and negative portions of the solution.
w=i303,-i303
w=i303,-i303
w=i303,-i303
Solve using the Square Root Property 16=(w^2+6)(6)   ## Download our App from the store

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