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Popular >

square root of 125/2

Solution

simplify

\frac{125}{2}

Solution

\frac{5 5}{2}

+1

Decimal

5.59016 \dots

Solution steps

\frac{125}{2}

Prime factorization of

125 : 5^{3}

= \frac{5 ^{3}}{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

5^{3} = 5^{2} \cdot 5

= \frac{5 ^{2} \cdot 5}{2}

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

5^{2} \cdot 5 = 5^{2} 5

= \frac{5 ^{2} 5}{2}

Apply radical rule:

a^{2} = a, a \geq 0

5^{2} = 5

= \frac{5 5}{2}

Popular Examples

Calculate the Square Root square root of 2.5 simplify

2.5

Solve for x 2x+5=10 solve for

x, 2 x + 5 = 10

Convert to a Decimal 2.1%simplify

2.1%

Using the Given Value square root of 80/45 simplify

\frac{80}{45}

- 20/4

Frequently Asked Questions (FAQ)

What is simplify (sqrt(125))/2 ?
The solution to simplify (sqrt(125))/2 is (5sqrt(5))/2