What is 1/2 sqrt(20) ?

The solution to 1/2 sqrt(20) is square root of 5

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simplify 1/2 sqrt(20)

simplify

\frac{1}{2} 20

5

Decimal Notation

2.23606 \dots

Solution steps

\frac{1}{2} 20

Prime factorization of

20 : 2^{2} \cdot 5

= \frac{1}{2} 2^{2} \cdot 5

Apply radical rule:

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

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

= \frac{1}{2} 2^{2} 5

Apply radical rule:

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

2^{2} = 2

= \frac{1}{2} \cdot 25

Convert

2

to fraction

: \frac{2}{1}

= \frac{1}{2} \cdot \frac{2}{1} 5

Cross-cancel common factor:

2

= 1 \cdot 5

Apply rule:

1 \cdot a = a

= 5

\frac{1}{2} 12

49 + 310

\frac{28}{- 7}

\frac{5}{4} + 4