Solve for S 4 square root of S-1=3

$4 \sqrt{S} - 1 = 3$

Move all terms not containing $\sqrt{S}$ to the right side of the equation.

Tap for more steps…

Add $1$ to both sides of the equation.

$4 \sqrt{S} = 3 + 1$

Add $3$ and $1$ .

$4 \sqrt{S} = 4$

Divide each term by $4$ and simplify.

Tap for more steps…

Divide each term in $4 \sqrt{S} = 4$ by $4$ .

$\frac{4 \sqrt{S}}{4} = \frac{4}{4}$

Cancel the common factor of $4$ .

Tap for more steps…

Cancel the common factor.

$\frac{4 \sqrt{S}}{4} = \frac{4}{4}$

Divide $\sqrt{S}$ by $1$ .

$\sqrt{S} = \frac{4}{4}$

Divide $4$ by $4$ .

$\sqrt{S} = 1$

To remove the radical on the left side of the equation, square both sides of the equation.

${\sqrt{S}}^{2} = 1^{2}$

Simplify each side of the equation.

Tap for more steps…

Multiply the exponents in ${(S^{\frac{1}{2}})}^{2}$ .

Tap for more steps…

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$S^{\frac{1}{2} \cdot 2} = 1^{2}$

Cancel the common factor of $2$ .

Tap for more steps…

Cancel the common factor.

$S^{\frac{1}{2} \cdot 2} = 1^{2}$

Rewrite the expression.

$S^{1} = 1^{2}$

Simplify.

$S = 1^{2}$

One to any power is one.

$S = 1$

Solve for S 4 square root of S-1=3

Our Professionals