2s2=42

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

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