What is (sqrt(2000))/(sqrt(8)) ?

The solution to (sqrt(2000))/(sqrt(8)) is 5sqrt(10)

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simplify (sqrt(2000))/(sqrt(8))

simplify

\frac{2000}{8}

510

Decimal Notation

15.81138 \dots

Solution steps

\frac{2000}{8}

Apply radical rule:

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

\frac{2000}{8} = \frac{2000}{8}

= \frac{2000}{8}

Divide the numbers:

\frac{2000}{8} = 250

= 250

Prime factorization of

250 : 2 \cdot 5^{3}

= 2 \cdot 5^{3}

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

= 5^{2} 2 \cdot 5

Apply radical rule:

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

5^{2} = 5

= 5 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 510

\frac{8}{110}

(a + b) (x - 3) + (2 a - b) (x - 3)

- 1.6 \div 2

(b + 4 c) (b - 4 c)

What is (sqrt(2000))/(sqrt(8)) ?
The solution to (sqrt(2000))/(sqrt(8)) is 5sqrt(10)