Solve h^6622-4 - ScanMath

Question

Simplify the expression

622 h^{6} - 4

Evaluate

h^{6} \times 622 - 4

Solution

622 h^{6} - 4

Show Solution

2 (311 h^{6} - 2)

Evaluate

h^{6} \times 622 - 4

Use the commutative property to reorder the terms

622 h^{6} - 4

Solution

2 (311 h^{6} - 2)

Show Solution

h_{1} = - \frac{6 2 \times 31 1 ^{5}}{311}, h_{2} = \frac{6 2 \times 31 1 ^{5}}{311}

Alternative Form

h_{1} \approx - 0.431233, h_{2} \approx 0.431233

Evaluate

h^{6} \times 622 - 4

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

h^{6} \times 622 - 4 = 0

Use the commutative property to reorder the terms

622 h^{6} - 4 = 0

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

622 h^{6} = 0 + 4

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

622 h^{6} = 4

Divide both sides

\frac{622 h ^{6}}{622} = \frac{4}{622}

Divide the numbers

h^{6} = \frac{4}{622}

Cancel out the common factor 2

h^{6} = \frac{2}{311}

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

h = \pm 6 \frac{2}{311}

Simplify the expression

More Steps

Evaluate

6 \frac{2}{311}

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

\frac{6 2}{6 311}

Multiply by the Conjugate

\frac{6 2 \times 6 31 1 ^{5}}{6 311 \times 6 31 1 ^{5}}

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

\frac{6 2 \times 31 1 ^{5}}{6 311 \times 6 31 1 ^{5}}

Multiply the numbers

More Steps

Evaluate

6311 \times 6 31 1^{5}

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

6 311 \times 31 1^{5}

Calculate the product

6 31 1^{6}

Reduce the index of the radical and exponent with 6

311

\frac{6 2 \times 31 1 ^{5}}{311}

h = \pm \frac{6 2 \times 31 1 ^{5}}{311}

Separate the equation into 2 possible cases

h = \frac{6 2 \times 31 1 ^{5}}{311} h = - \frac{6 2 \times 31 1 ^{5}}{311}

Solution

h_{1} = - \frac{6 2 \times 31 1 ^{5}}{311}, h_{2} = \frac{6 2 \times 31 1 ^{5}}{311}

Alternative Form

h_{1} \approx - 0.431233, h_{2} \approx 0.431233

Show Solution