What is 1/2 sqrt(40) ?

The solution to 1/2 sqrt(40) is square root of 10

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simplify 1/2 sqrt(40)

simplify

\frac{1}{2} 40

10

Decimal Notation

3.16227 \dots

Solution steps

\frac{1}{2} 40

Prime factorization of

40 : 2^{3} \cdot 5

= \frac{1}{2} 2^{3} \cdot 5

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

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

Apply radical rule:

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

2^{2} = 2

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

Multiply the numbers:

2 \cdot 5 = 10

= \frac{1}{2} \cdot 210

Convert

2

to fraction

: \frac{2}{1}

= \frac{1}{2} \cdot \frac{2}{1} 10

Cross-cancel common factor:

2

= 1 \cdot 10

Apply rule:

1 \cdot a = a

= 10

1 3^{0}

(1 - 3 i)^{\frac{1}{3}}

(22 + 1) (32 - 2)

x - 15 > - 20

\frac{1}{4} x + \frac{1}{5} = 1