What is (sqrt(504))/(sqrt(2)) ?

The solution to (sqrt(504))/(sqrt(2)) is 6sqrt(7)

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simplify (sqrt(504))/(sqrt(2))

simplify

\frac{504}{2}

67

Decimal Notation

15.87450 \dots

Solution steps

\frac{504}{2}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

\frac{504}{2} = \frac{504}{2}

= \frac{504}{2}

Divide the numbers:

\frac{504}{2} = 252

= 252

Prime factorization of

252 : 2^{2} \cdot 3^{2} \cdot 7

= 2^{2} \cdot 3^{2} \cdot 7

2^{2} \cdot 3^{2} \cdot 7 = 2^{2} 3^{2} 7

= 2^{2} 3^{2} 7

Apply radical rule:

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

2^{2} = 2

= 2 3^{2} 7

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 37

Multiply the numbers:

2 \cdot 3 = 6

= 67

(5 x^{2} - 3 x + 4) + (6 x - 3 x^{2} - 3)

cos (θ) \cdot cos (θ)

21 + 20 i + - 12 - 16 i

\frac{3}{10} + (- \frac{5}{6})

\frac{6 x ^{2} y ^{3}}{3 x y ^{5}}

What is (sqrt(504))/(sqrt(2)) ?
The solution to (sqrt(504))/(sqrt(2)) is 6sqrt(7)