# Solve for s 2s^2=4 square root of 2 2s2=42
Divide each term by 2 and simplify.
Divide each term in 2s2=42 by 2.
2s22=422
Cancel the common factor of 2.
Cancel the common factor.
2s22=422
Divide s2 by 1.
s2=422
s2=422
Cancel the common factor of 4 and 2.
Factor 2 out of 42.
s2=2(22)2
Cancel the common factors.
Factor 2 out of 2.
s2=2(22)2(1)
Cancel the common factor.
s2=2(22)2⋅1
Rewrite the expression.
s2=221
Divide 22 by 1.
s2=22
s2=22
s2=22
s2=22
Take the square root of both sides of the equation to eliminate the exponent on the left side.
s=±22
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.
s=22
Next, use the negative value of the ± to find the second solution.
s=-22
The complete solution is the result of both the positive and negative portions of the solution.
s=22,-22
s=22,-22
The result can be shown in multiple forms.
Exact Form:
s=22,-22
Decimal Form:
s=1.68179283…,-1.68179283…
Solve for s 2s^2=4 square root of 2

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