Solve sqrt (y/80)

Question

Simplify the expression

\frac{5 y}{20}

Evaluate

\frac{y}{80}

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

\frac{y}{80}

Simplify the radical expression

More Steps

Evaluate

80

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

16 \times 5

Write the number in exponential form with the base of 4

4^{2} \times 5

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

4^{2} \times 5

Reduce the index of the radical and exponent with 2

45

\frac{y}{4 5}

Multiply by the Conjugate

\frac{y \times 5}{4 5 \times 5}

Calculate

\frac{y \times 5}{4 \times 5}

Calculate

More Steps

Evaluate

y \times 5

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

y \times 5

Calculate the product

5 y

\frac{5 y}{4 \times 5}

Solution

\frac{5 y}{20}

Show Solution

y = 0

Evaluate

\frac{y}{80}

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

\frac{y}{80} = 0

Find the domain

\frac{y}{80} = 0, y \geq 0

Calculate

\frac{y}{80} = 0

Simplify the root

More Steps

Evaluate

\frac{y}{80}

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

\frac{y}{80}

Simplify the radical expression

More Steps

Evaluate

80

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

16 \times 5

Write the number in exponential form with the base of 4

4^{2} \times 5

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

4^{2} \times 5

Reduce the index of the radical and exponent with 2

45

\frac{y}{4 5}

\frac{y}{4 5} = 0

Simplify

y = 0

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

y = 0

Check if the solution is in the defined range

y = 0, y \geq 0

Solution

y = 0

Show Solution