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Popular >

simplify sqrt(11^2+11^2)

Solution

simplify

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

Solution

112

+1

Decimal Notation

15.55634 \dots

Solution steps

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

1 1^{2} + 1 1^{2} = 242

= 242

Prime factorization of

242 : 2 \cdot 1 1^{2}

= 2 \cdot 1 1^{2}

Apply radical rule:

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

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

= 2 1 1^{2}

Apply radical rule:

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

1 1^{2} = 11

= 2 \cdot 11

= 112

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Frequently Asked Questions (FAQ)

What is sqrt(11^2+11^2) ?
The solution to sqrt(11^2+11^2) is 11sqrt(2)