What is (sqrt(180))/(sqrt(9)) ?

The solution to (sqrt(180))/(sqrt(9)) is 2sqrt(5)

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simplify (sqrt(180))/(sqrt(9))

simplify

\frac{180}{9}

25

Decimal Notation

4.47213 \dots

Solution steps

\frac{180}{9}

Apply radical rule:

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

\frac{180}{9} = \frac{180}{9}

= \frac{180}{9}

Divide the numbers:

\frac{180}{9} = 20

= 20

Prime factorization of

20 : 2^{2} \cdot 5

= 2^{2} \cdot 5

Apply radical rule:

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

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

= 2^{2} 5

Apply radical rule:

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

2^{2} = 2

= 25

- 3 a^{2} + 48

50 x + 5000 - 3 x^{2} = 0

x - 2 x - 48 = 0

3 (x + 1)^{2} - 12

What is (sqrt(180))/(sqrt(9)) ?
The solution to (sqrt(180))/(sqrt(9)) is 2sqrt(5)