Solve sqrt(5x^2 3x^2)

Question

Simplify the expression

15 \times x^{2}

Evaluate

5 x^{2} \times 3 x^{2}

Multiply

More Steps

Multiply the terms

5 x^{2} \times 3 x^{2}

Multiply the terms

15 x^{2} \times x^{2}

Multiply the terms with the same base by adding their exponents

15 x^{2 + 2}

Add the numbers

15 x^{4}

15 x^{4}

Reorder the terms

x^{4} \times 15

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

x^{4} \times 15

Solution

15 \times x^{2}

Show Solution

x = 0

Evaluate

5 x^{2} \times 3 x^{2}

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

5 x^{2} \times 3 x^{2} = 0

Find the domain

More Steps

Evaluate

5 x^{2} \times 3 x^{2} \geq 0

Multiply

More Steps

Evaluate

5 x^{2} \times 3 x^{2}

Multiply the terms

15 x^{2} \times x^{2}

Multiply the terms with the same base by adding their exponents

15 x^{2 + 2}

Add the numbers

15 x^{4}

15 x^{4} \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

5 x^{2} \times 3 x^{2} = 0, x \in R

Calculate

5 x^{2} \times 3 x^{2} = 0

Multiply

More Steps

Multiply the terms

5 x^{2} \times 3 x^{2}

Multiply the terms

15 x^{2} \times x^{2}

Multiply the terms with the same base by adding their exponents

15 x^{2 + 2}

Add the numbers

15 x^{4}

15 x^{4} = 0

Simplify the root

More Steps

Evaluate

15 x^{4}

Reorder the terms

x^{4} \times 15

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

x^{4} \times 15

Reduce the index of the radical and exponent with 2

15 \times x^{2}

15 \times x^{2} = 0

Rewrite the expression

x^{2} = 0

Solution

x = 0

Show Solution