What is simplify ((sqrt(200)))/((sqrt(5))) ?

The solution to simplify ((sqrt(200)))/((sqrt(5))) is 2sqrt(10)

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Divide ( square root of 200)÷( square root of 5)

simplify

\frac{( 200 )}{( 5 )}

210

Decimal Notation

6.32455 \dots

Solution steps

\frac{200}{5}

Apply radical rule:

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

\frac{200}{5} = \frac{200}{5}

= \frac{200}{5}

Divide the numbers:

\frac{200}{5} = 40

= 40

Prime factorization of

40 : 2^{3} \cdot 5

= 2^{3} \cdot 5

Apply exponent rule:

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

2^{3} \cdot 5 = 2^{2} \cdot 2 \cdot 5

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

Apply radical rule:

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

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

= 2^{2} 2 \cdot 5

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 210

9 x^{3} + 18 x^{2} - 4 x - 8

8.25%

5.4%

x, 2 x + 4 = 24

f, (3 f + 2) (f - 5) = 0

What is simplify ((sqrt(200)))/((sqrt(5))) ?
The solution to simplify ((sqrt(200)))/((sqrt(5))) is 2sqrt(10)