Solve r^5124-36 - ScanMath

Question

Simplify the expression

124 r^{5} - 36

Evaluate

r^{5} \times 124 - 36

Solution

124 r^{5} - 36

Show Solution

4 (31 r^{5} - 9)

Evaluate

r^{5} \times 124 - 36

Use the commutative property to reorder the terms

124 r^{5} - 36

Solution

4 (31 r^{5} - 9)

Show Solution

r = \frac{5 9 \times 3 1 ^{4}}{31}

Alternative Form

r \approx 0.780865

Evaluate

r^{5} \times 124 - 36

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

r^{5} \times 124 - 36 = 0

Use the commutative property to reorder the terms

124 r^{5} - 36 = 0

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

124 r^{5} = 0 + 36

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

124 r^{5} = 36

Divide both sides

\frac{124 r ^{5}}{124} = \frac{36}{124}

Divide the numbers

r^{5} = \frac{36}{124}

Cancel out the common factor 4

r^{5} = \frac{9}{31}

Take the 5 -th root on both sides of the equation

5 r^{5} = 5 \frac{9}{31}

Calculate

r = 5 \frac{9}{31}

Solution

More Steps

Evaluate

5 \frac{9}{31}

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

\frac{5 9}{5 31}

Multiply by the Conjugate

\frac{5 9 \times 5 3 1 ^{4}}{5 31 \times 5 3 1 ^{4}}

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

\frac{5 9 \times 3 1 ^{4}}{5 31 \times 5 3 1 ^{4}}

Multiply the numbers

More Steps

Evaluate

531 \times 5 3 1^{4}

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

5 31 \times 3 1^{4}

Calculate the product

5 3 1^{5}

Reduce the index of the radical and exponent with 5

31

\frac{5 9 \times 3 1 ^{4}}{31}

r = \frac{5 9 \times 3 1 ^{4}}{31}

Alternative Form

r \approx 0.780865

Show Solution