simplify sqrt(2600)

Solution

simplify

2600

1026

Decimal Notation

50.99019 \dots

Solution steps

2600

Prime factorization of

2600 : 2^{3} \cdot 5^{2} \cdot 13

= 2^{3} \cdot 5^{2} \cdot 13

Apply exponent rule:

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

2^{3} \cdot 5^{2} \cdot 13 = 2^{2} \cdot 2 \cdot 5^{2} \cdot 13

= 2^{2} \cdot 2 \cdot 5^{2} \cdot 13

2^{2} \cdot 2 \cdot 5^{2} \cdot 13 = 2^{2} 5^{2} 2 \cdot 13

= 2^{2} 5^{2} 2 \cdot 13

Apply radical rule:

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

2^{2} = 2

= 2 5^{2} 2 \cdot 13

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 5 2 \cdot 13

Multiply the numbers:

2 \cdot 5 = 10

= 10 2 \cdot 13

Multiply the numbers:

2 \cdot 13 = 26

= 1026

(\frac{2 x y ^{2}}{z} + 5 x z^{2} + 2 x yz) (3 x y^{3} - \frac{2}{z})

14 x^{2} - 53 x + 14

14 - 6 (a + 2) = 9 + a

25 a^{2} - 16 b^{2}

2 y^{2} + 11 y + 9