What is (sqrt(56))/(sqrt(7)) ?

The solution to (sqrt(56))/(sqrt(7)) is 2sqrt(2)

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simplify (sqrt(56))/(sqrt(7))

simplify

\frac{56}{7}

22

Decimal Notation

2.82842 \dots

Solution steps

\frac{56}{7}

Apply radical rule:

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

\frac{56}{7} = \frac{56}{7}

= \frac{56}{7}

Divide the numbers:

\frac{56}{7} = 8

= 8

Prime factorization of

8 : 2^{3}

= 2^{3}

Apply exponent rule:

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

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

= 2^{2} \cdot 2

Apply radical rule:

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

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

= 2^{2} 2

Apply radical rule:

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

2^{2} = 2

= 22

(x^{2} - 3 x + 1) (x - 3)

\frac{5}{2} + \frac{15}{4} + \frac{25}{6} + \frac{14}{3}

7 (\frac{2110}{124 - 23})^{2} - 6 (1 - 19 - 33)

4 ln (2) + ln (4)