What is 1/2 sqrt(24) ?

The solution to 1/2 sqrt(24) is square root of 6

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simplify 1/2 sqrt(24)

simplify

\frac{1}{2} 24

6

Decimal Notation

2.44948 \dots

Solution steps

\frac{1}{2} 24

Prime factorization of

24 : 2^{3} \cdot 3

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

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

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

Apply radical rule:

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

2^{2} = 2

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

Multiply the numbers:

2 \cdot 3 = 6

= \frac{1}{2} \cdot 26

Convert

2

to fraction

: \frac{2}{1}

= \frac{1}{2} \cdot \frac{2}{1} 6

Cross-cancel common factor:

2

= 1 \cdot 6

Apply rule:

1 \cdot a = a

= 6

(4 x + 2)^{- 1} < 0

6 (v + 1) - 9 = 4 (v - 1) + 2 v

(32 x^{10} y^{- 30})^{\frac{4}{5}}

2 x^{2} - 2 x + 9 = 0

- 2 y + 7 < 1 or 4 y + 3 \leq - 5