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Popular >

simplify sqrt(8000)

Solution

simplify

8000

Solution

405

+1

Decimal Notation

89.44271 \dots

Solution steps

8000

Prime factorization of

8000 : 2^{6} \cdot 5^{3}

= 2^{6} \cdot 5^{3}

Apply exponent rule:

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

2^{6} \cdot 5^{3} = 2^{6} \cdot 5^{2} \cdot 5

= 2^{6} \cdot 5^{2} \cdot 5

2^{6} \cdot 5^{2} \cdot 5 = 2^{6} 5^{2} 5

= 2^{6} 5^{2} 5

2^{6} = 8

= 8 5^{2} 5

Apply radical rule:

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

5^{2} = 5

= 8 \cdot 55

Multiply the numbers:

8 \cdot 5 = 40

= 405

Popular Examples

- 7 x - 5 = - 4 x - 29

- 7 k \leq - 35

2 x^{2} = x + 6

- 2 x + 200 = 6 x

2^8-10-15\div 3

2^{8} - 10 - 15 \div 3

Frequently Asked Questions (FAQ)

What is sqrt(8000) ?
The solution to sqrt(8000) is 40sqrt(5)