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Popular >

simplify sqrt(10^2+4^2)

Solution

simplify

1 0^{2} + 4^{2}

Solution

229

+1

Decimal Notation

10.77032 \dots

Solution steps

1 0^{2} + 4^{2}

1 0^{2} + 4^{2} = 116

= 116

Prime factorization of

116 : 2^{2} \cdot 29

= 2^{2} \cdot 29

Apply radical rule:

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

2^{2} \cdot 29 = 2^{2} 29

= 2^{2} 29

Apply radical rule:

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

2^{2} = 2

= 229

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Frequently Asked Questions (FAQ)

What is sqrt(10^2+4^2) ?
The solution to sqrt(10^2+4^2) is 2sqrt(29)