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Popular >

simplify 3sqrt(578)

Solution

simplify

3578

Solution

512

+1

Decimal Notation

72.12489 \dots

Solution steps

3578

Prime factorization of

578 : 2 \cdot 1 7^{2}

= 3 2 \cdot 1 7^{2}

Apply radical rule:

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

2 \cdot 1 7^{2} = 2 1 7^{2}

= 32 1 7^{2}

Apply radical rule:

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

1 7^{2} = 17

= 32 \cdot 17

Multiply the numbers:

3 \cdot 17 = 51

= 512

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Frequently Asked Questions (FAQ)

What is 3sqrt(578) ?
The solution to 3sqrt(578) is 51sqrt(2)