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Popular >

simplify sqrt(2205)

Solution

simplify

2205

Solution

215

+1

Decimal Notation

46.95742 \dots

Solution steps

2205

Prime factorization of

2205 : 3^{2} \cdot 5 \cdot 7^{2}

= 3^{2} \cdot 5 \cdot 7^{2}

3^{2} \cdot 5 \cdot 7^{2} = 3^{2} 5 7^{2}

= 3^{2} 5 7^{2}

Apply radical rule:

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

3^{2} = 3

= 35 7^{2}

Apply radical rule:

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

7^{2} = 7

= 35 \cdot 7

Multiply the numbers:

3 \cdot 7 = 21

= 215

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Frequently Asked Questions (FAQ)

What is sqrt(2205) ?
The solution to sqrt(2205) is 21sqrt(5)