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Popular >

simplify 2sqrt(300)

Solution

simplify

2300

Solution

203

+1

Decimal Notation

34.64101 \dots

Solution steps

2300

Prime factorization of

300 : 2^{2} \cdot 3 \cdot 5^{2}

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 \cdot 23 5^{2}

Apply radical rule:

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

5^{2} = 5

= 2 \cdot 23 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 2 \cdot 103

Multiply the numbers:

2 \cdot 10 = 20

= 203

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Frequently Asked Questions (FAQ)

What is 2sqrt(300) ?
The solution to 2sqrt(300) is 20sqrt(3)