What is (sqrt(224))/(sqrt(7)) ?

The solution to (sqrt(224))/(sqrt(7)) is 4sqrt(2)

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simplify (sqrt(224))/(sqrt(7))

simplify

\frac{224}{7}

42

Solution steps

\frac{224}{7}

Apply radical rule:

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

\frac{224}{7} = \frac{224}{7}

= \frac{224}{7}

Divide the numbers:

\frac{224}{7} = 32

= 32

Prime factorization of

32 : 2^{5}

= 2^{5}

Apply exponent rule:

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

2^{5} = 2^{4} \cdot 2

= 2^{4} \cdot 2

Apply radical rule:

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

2^{4} \cdot 2 = 2^{4} 2

= 2^{4} 2

2^{4} = 4

= 42

\frac{1}{100}

4 a (2 a)

(- 3) (5)

p^{5} - 81 p

\frac{- 36}{- 3}

What is (sqrt(224))/(sqrt(7)) ?
The solution to (sqrt(224))/(sqrt(7)) is 4sqrt(2)