Solve 22G^610-34 - ScanMath

Question

Simplify the expression

220 G^{6} - 34

Evaluate

22 G^{6} \times 10 - 34

Solution

220 G^{6} - 34

Show Solution

2 (110 G^{6} - 17)

Evaluate

22 G^{6} \times 10 - 34

Multiply the terms

220 G^{6} - 34

Solution

2 (110 G^{6} - 17)

Show Solution

G_{1} = - \frac{6 17 \times 11 0 ^{5}}{110}, G_{2} = \frac{6 17 \times 11 0 ^{5}}{110}

Alternative Form

G_{1} \approx - 0.732559, G_{2} \approx 0.732559

Evaluate

22 G^{6} \times 10 - 34

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

22 G^{6} \times 10 - 34 = 0

Multiply the terms

220 G^{6} - 34 = 0

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

220 G^{6} = 0 + 34

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

220 G^{6} = 34

Divide both sides

\frac{220 G ^{6}}{220} = \frac{34}{220}

Divide the numbers

G^{6} = \frac{34}{220}

Cancel out the common factor 2

G^{6} = \frac{17}{110}

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

G = \pm 6 \frac{17}{110}

Simplify the expression

More Steps

Evaluate

6 \frac{17}{110}

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

\frac{6 17}{6 110}

Multiply by the Conjugate

\frac{6 17 \times 6 11 0 ^{5}}{6 110 \times 6 11 0 ^{5}}

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

\frac{6 17 \times 11 0 ^{5}}{6 110 \times 6 11 0 ^{5}}

Multiply the numbers

More Steps

Evaluate

6110 \times 6 11 0^{5}

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

6 110 \times 11 0^{5}

Calculate the product

6 11 0^{6}

Reduce the index of the radical and exponent with 6

110

\frac{6 17 \times 11 0 ^{5}}{110}

G = \pm \frac{6 17 \times 11 0 ^{5}}{110}

Separate the equation into 2 possible cases

G = \frac{6 17 \times 11 0 ^{5}}{110} G = - \frac{6 17 \times 11 0 ^{5}}{110}

Solution

G_{1} = - \frac{6 17 \times 11 0 ^{5}}{110}, G_{2} = \frac{6 17 \times 11 0 ^{5}}{110}

Alternative Form

G_{1} \approx - 0.732559, G_{2} \approx 0.732559

Show Solution