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Popular >

simplify sqrt(1700)

Solution

simplify

1700

Solution

1017

+1

Decimal Notation

41.23105 \dots

Solution steps

1700

Prime factorization of

1700 : 2^{2} \cdot 5^{2} \cdot 17

= 2^{2} \cdot 5^{2} \cdot 17

2^{2} \cdot 5^{2} \cdot 17 = 2^{2} 5^{2} 17

= 2^{2} 5^{2} 17

Apply radical rule:

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

2^{2} = 2

= 2 5^{2} 17

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 517

Multiply the numbers:

2 \cdot 5 = 10

= 1017

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Frequently Asked Questions (FAQ)

What is sqrt(1700) ?
The solution to sqrt(1700) is 10sqrt(17)