Algebra Examples

$v = \sqrt{1.223 w}$

Step 1

Simplify $\sqrt{1.223 w}$ .

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Step 1.1

Rewrite $1.223 w$ as ${({1.05161461}^{2})}^{2} w$ .

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Step 1.1.1

Rewrite $1.223$ as ${1.1058933}^{2}$ .

$v = \sqrt{{1.1058933}^{2} w}$

Step 1.1.2

Rewrite $1.1058933$ as ${1.05161461}^{2}$ .

$v = \sqrt{{({1.05161461}^{2})}^{2} w}$

Step 1.2

Pull terms out from under the radical.

$v = {1.05161461}^{2} \sqrt{w}$

Step 1.3

Raise $1.05161461$ to the power of $2$ .

$v = 1.1058933 \sqrt{w}$

Step 2

To rewrite as a function of $w$ , write the equation so that $v$ is by itself on one side of the equal sign and an expression involving only $w$ is on the other side.

$f (w) = 1.1058933 \sqrt{w}$