simplify sqrt(2250)

Solution

simplify

2250

1510

Decimal Notation

47.43416 \dots

Solution steps

2250

Prime factorization of

2250 : 2 \cdot 3^{2} \cdot 5^{3}

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

3^{2} = 3

= 3 5^{2} 2 \cdot 5

Apply radical rule:

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

5^{2} = 5

= 3 \cdot 5 2 \cdot 5

Multiply the numbers:

3 \cdot 5 = 15

= 15 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 1510

175 - 28

- 81 - - 20 + 1 + - 80

\frac{( x ^{2} - x - 6 )}{( x - 3 )}

- 5 x^{2} (4 x + 8 x^{2} - 2)

\frac{400}{3}