Solve h^4036-22-0

Question

Simplify the expression

36 h^{4} - 22

Evaluate

h^{4} \times 36 - 22 - 0

Use the commutative property to reorder the terms

36 h^{4} - 22 - 0

Solution

36 h^{4} - 22

Show Solution

2 (18 h^{4} - 11)

Evaluate

h^{4} \times 36 - 22 - 0

Use the commutative property to reorder the terms

36 h^{4} - 22 - 0

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

36 h^{4} - 22

Solution

2 (18 h^{4} - 11)

Show Solution

h_{1} = - \frac{4 792}{6}, h_{2} = \frac{4 792}{6}

Alternative Form

h_{1} \approx - 0.884158, h_{2} \approx 0.884158

Evaluate

h^{4} \times 36 - 22 - 0

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

h^{4} \times 36 - 22 - 0 = 0

Use the commutative property to reorder the terms

36 h^{4} - 22 - 0 = 0

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

36 h^{4} - 22 = 0

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

36 h^{4} = 0 + 22

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

36 h^{4} = 22

Divide both sides

\frac{36 h ^{4}}{36} = \frac{22}{36}

Divide the numbers

h^{4} = \frac{22}{36}

Cancel out the common factor 2

h^{4} = \frac{11}{18}

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

h = \pm 4 \frac{11}{18}

Simplify the expression

More Steps

Evaluate

4 \frac{11}{18}

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

\frac{4 11}{4 18}

Multiply by the Conjugate

\frac{4 11 \times 4 1 8 ^{3}}{4 18 \times 4 1 8 ^{3}}

Simplify

\frac{4 11 \times 3 4 72}{4 18 \times 4 1 8 ^{3}}

Multiply the numbers

More Steps

Evaluate

411 \times 3472

Multiply the terms

4792 \times 3

Use the commutative property to reorder the terms

34792

\frac{3 4 792}{4 18 \times 4 1 8 ^{3}}

Multiply the numbers

More Steps

Evaluate

418 \times 4 1 8^{3}

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

4 18 \times 1 8^{3}

Calculate the product

4 1 8^{4}

Reduce the index of the radical and exponent with 4

18

\frac{3 4 792}{18}

Cancel out the common factor 3

\frac{4 792}{6}

h = \pm \frac{4 792}{6}

Separate the equation into 2 possible cases

h = \frac{4 792}{6} h = - \frac{4 792}{6}

Solution

h_{1} = - \frac{4 792}{6}, h_{2} = \frac{4 792}{6}

Alternative Form

h_{1} \approx - 0.884158, h_{2} \approx 0.884158

Show Solution