Solve h^4036-801-0

Question

Simplify the expression

36 h^{4} - 801

Evaluate

h^{4} \times 36 - 801 - 0

Use the commutative property to reorder the terms

36 h^{4} - 801 - 0

Solution

36 h^{4} - 801

Show Solution

9 (4 h^{4} - 89)

Evaluate

h^{4} \times 36 - 801 - 0

Use the commutative property to reorder the terms

36 h^{4} - 801 - 0

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

36 h^{4} - 801

Solution

9 (4 h^{4} - 89)

Show Solution

h_{1} = - \frac{4 356}{2}, h_{2} = \frac{4 356}{2}

Alternative Form

h_{1} \approx - 2.171863, h_{2} \approx 2.171863

Evaluate

h^{4} \times 36 - 801 - 0

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

h^{4} \times 36 - 801 - 0 = 0

Use the commutative property to reorder the terms

36 h^{4} - 801 - 0 = 0

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

36 h^{4} - 801 = 0

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

36 h^{4} = 0 + 801

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

36 h^{4} = 801

Divide both sides

\frac{36 h ^{4}}{36} = \frac{801}{36}

Divide the numbers

h^{4} = \frac{801}{36}

Cancel out the common factor 9

h^{4} = \frac{89}{4}

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

h = \pm 4 \frac{89}{4}

Simplify the expression

More Steps

Evaluate

4 \frac{89}{4}

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

\frac{4 89}{4 4}

Simplify the radical expression

More Steps

Evaluate

44

Write the number in exponential form with the base of 2

4 2^{2}

Reduce the index of the radical and exponent with 2

2

\frac{4 89}{2}

Multiply by the Conjugate

\frac{4 89 \times 2}{2 \times 2}

Multiply the numbers

More Steps

Evaluate

489 \times 2

Use n a = mn a^{m} to expand the expression

489 \times 4 2^{2}

The product of roots with the same index is equal to the root of the product

4 89 \times 2^{2}

Calculate the product

4356

\frac{4 356}{2 \times 2}

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

\frac{4 356}{2}

h = \pm \frac{4 356}{2}

Separate the equation into 2 possible cases

h = \frac{4 356}{2} h = - \frac{4 356}{2}

Solution

h_{1} = - \frac{4 356}{2}, h_{2} = \frac{4 356}{2}

Alternative Form

h_{1} \approx - 2.171863, h_{2} \approx 2.171863

Show Solution