What is simplify (sqrt(24))/(25) ?

The solution to simplify (sqrt(24))/(25) is (2sqrt(6))/(25)

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Simplify square root of 24/25

simplify

\frac{24}{25}

\frac{2 6}{25}

Decimal Notation

0.19595 \dots

Solution steps

\frac{24}{25}

Prime factorization of

24 : 2^{3} \cdot 3

= \frac{2 ^{3} \cdot 3}{25}

Apply exponent rule:

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

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

= \frac{2 ^{2} \cdot 2 \cdot 3}{25}

Apply radical rule:

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

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

= \frac{2 ^{2} 2 \cdot 3}{25}

Apply radical rule:

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

2^{2} = 2

= \frac{2 2 \cdot 3}{25}

Multiply the numbers:

2 \cdot 3 = 6

= \frac{2 6}{25}

(- 2) - \frac{1}{2}

\frac{( 2.5 - 2 )}{( \frac{( 2 + 2.5 )}{2} )}

8 - 4 x^{2} + 10 x^{2} + 2 x

\frac{( 9 x ^{3} + 3 x ^{2} + 22 x )}{( 3 x ^{2} + 1 )}

x, - 4 x < 16

What is simplify (sqrt(24))/(25) ?
The solution to simplify (sqrt(24))/(25) is (2sqrt(6))/(25)