Solve 6v^210-8 - ScanMath

Question

Simplify the expression

60 v^{2} - 8

Evaluate

6 v^{2} \times 10 - 8

Solution

60 v^{2} - 8

Show Solution

4 (15 v^{2} - 2)

Evaluate

6 v^{2} \times 10 - 8

Multiply the terms

60 v^{2} - 8

Solution

4 (15 v^{2} - 2)

Show Solution

v_{1} = - \frac{30}{15}, v_{2} = \frac{30}{15}

Alternative Form

v_{1} \approx - 0.365148, v_{2} \approx 0.365148

Evaluate

6 v^{2} \times 10 - 8

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

6 v^{2} \times 10 - 8 = 0

Multiply the terms

60 v^{2} - 8 = 0

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

60 v^{2} = 0 + 8

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

60 v^{2} = 8

Divide both sides

\frac{60 v ^{2}}{60} = \frac{8}{60}

Divide the numbers

v^{2} = \frac{8}{60}

Cancel out the common factor 4

v^{2} = \frac{2}{15}

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

v = \pm \frac{2}{15}

Simplify the expression

More Steps

Evaluate

\frac{2}{15}

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

\frac{2}{15}

Multiply by the Conjugate

\frac{2 \times 15}{15 \times 15}

Multiply the numbers

More Steps

Evaluate

2 \times 15

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

2 \times 15

Calculate the product

30

\frac{30}{15 \times 15}

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

\frac{30}{15}

v = \pm \frac{30}{15}

Separate the equation into 2 possible cases

v = \frac{30}{15} v = - \frac{30}{15}

Solution

v_{1} = - \frac{30}{15}, v_{2} = \frac{30}{15}

Alternative Form

v_{1} \approx - 0.365148, v_{2} \approx 0.365148

Show Solution