Solve h^2108-36 - ScanMath

Question

Simplify the expression

108 h^{2} - 36

Evaluate

h^{2} \times 108 - 36

Solution

108 h^{2} - 36

Show Solution

36 (3 h^{2} - 1)

Evaluate

h^{2} \times 108 - 36

Use the commutative property to reorder the terms

108 h^{2} - 36

Solution

36 (3 h^{2} - 1)

Show Solution

h_{1} = - \frac{3}{3}, h_{2} = \frac{3}{3}

Alternative Form

h_{1} \approx - 0.57735, h_{2} \approx 0.57735

Evaluate

h^{2} \times 108 - 36

To find the roots of the expression,set the expression equal to 0

h^{2} \times 108 - 36 = 0

Use the commutative property to reorder the terms

108 h^{2} - 36 = 0

Move the constant to the right-hand side and change its sign

108 h^{2} = 0 + 36

Removing 0 doesn't change the value,so remove it from the expression

108 h^{2} = 36

Divide both sides

\frac{108 h ^{2}}{108} = \frac{36}{108}

Divide the numbers

h^{2} = \frac{36}{108}

Cancel out the common factor 36

h^{2} = \frac{1}{3}

Take the root of both sides of the equation and remember to use both positive and negative roots

h = \pm \frac{1}{3}

Simplify the expression

More Steps

Evaluate

\frac{1}{3}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{1}{3}

Simplify the radical expression

\frac{1}{3}

Multiply by the Conjugate

\frac{3}{3 \times 3}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{3}{3}

h = \pm \frac{3}{3}

Separate the equation into 2 possible cases

h = \frac{3}{3} h = - \frac{3}{3}

Solution

h_{1} = - \frac{3}{3}, h_{2} = \frac{3}{3}

Alternative Form

h_{1} \approx - 0.57735, h_{2} \approx 0.57735

Show Solution