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Popular >

simplify sqrt(1^2+1^2+4^2)

Solution

simplify

1^{2} + 1^{2} + 4^{2}

Solution

32

+1

Decimal Notation

4.24264 \dots

Solution steps

1^{2} + 1^{2} + 4^{2}

1^{2} + 1^{2} + 4^{2} = 18

= 18

Prime factorization of

18 : 2 \cdot 3^{2}

= 2 \cdot 3^{2}

Apply radical rule:

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

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

= 2 3^{2}

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3

= 32

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Frequently Asked Questions (FAQ)

What is sqrt(1^2+1^2+4^2) ?
The solution to sqrt(1^2+1^2+4^2) is 3sqrt(2)