Solve 8 sqrt(13x^4x^2)

Question

Simplify the expression

813 \times x^{3}

Evaluate

8 13 x^{4} \times x^{2}

Multiply

More Steps

Multiply the terms

13 x^{4} \times x^{2}

Multiply the terms with the same base by adding their exponents

13 x^{4 + 2}

Add the numbers

13 x^{6}

8 13 x^{6}

Solution

More Steps

Evaluate

13 x^{6}

Reorder the terms

x^{6} \times 13

The root of a product is equal to the product of the roots of each factor

x^{6} \times 13

Reduce the index of the radical and exponent with 2

13 \times x^{3}

813 \times x^{3}

Show Solution

x = 0

Evaluate

8 13 x^{4} \times x^{2}

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

8 13 x^{4} \times x^{2} = 0

Find the domain

More Steps

Evaluate

13 x^{4} \times x^{2} \geq 0

Multiply

More Steps

Evaluate

13 x^{4} \times x^{2}

Multiply the terms with the same base by adding their exponents

13 x^{4 + 2}

Add the numbers

13 x^{6}

13 x^{6} \geq 0

Since the left-hand side is always positive or 0,and the right-hand side is always 0,the statement is true for any value of x

x \in R

8 13 x^{4} \times x^{2} = 0, x \in R

Calculate

8 13 x^{4} \times x^{2} = 0

Multiply

More Steps

Multiply the terms

13 x^{4} \times x^{2}

Multiply the terms with the same base by adding their exponents

13 x^{4 + 2}

Add the numbers

13 x^{6}

8 13 x^{6} = 0

Simplify the root

More Steps

Evaluate

13 x^{6}

Reorder the terms

x^{6} \times 13

The root of a product is equal to the product of the roots of each factor

x^{6} \times 13

Reduce the index of the radical and exponent with 2

13 \times x^{3}

813 \times x^{3} = 0

Rewrite the expression

x^{3} = 0

Rewrite the expression

x^{3} = 0

Solution

x = 0

Show Solution