Solve √3x 2 √2

Question

Simplify the expression

2 3 x

Evaluate

3 x \times 2 \times 2

Multiply the terms

6 x \times 2

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

6 x \times 2

Calculate the product

12 x

Write the expression as a product where the root of one of the factors can be evaluated

4 \times 3 x

Write the number in exponential form with the base of 2

2^{2} \times 3 x

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

2^{2} \times 3 x

Solution

2 3 x

Show Solution

x = 0

Evaluate

3 x \times 2 \times 2

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

3 x \times 2 \times 2 = 0

Find the domain

More Steps

Evaluate

3 x \times 2 \geq 0

Multiply the terms

6 x \geq 0

Rewrite the expression

x \geq 0

3 x \times 2 \times 2 = 0, x \geq 0

Calculate

3 x \times 2 \times 2 = 0

Multiply the terms

6 x \times 2 = 0

Multiply the terms

More Steps

Evaluate

6 x \times 2

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

6 x \times 2

Calculate the product

12 x

Write the expression as a product where the root of one of the factors can be evaluated

4 \times 3 x

Write the number in exponential form with the base of 2

2^{2} \times 3 x

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

2^{2} \times 3 x

Reduce the index of the radical and exponent with 2

2 3 x

2 3 x = 0

Rewrite the expression

3 x = 0

The only way a root could be 0 is when the radicand equals 0

3 x = 0

Rewrite the expression

x = 0

Check if the solution is in the defined range

x = 0, x \geq 0

Solution

x = 0

Show Solution