What is sqrt(2^2+6^2) ?

The solution to sqrt(2^2+6^2) is 2sqrt(10)

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simplify sqrt(2^2+6^2)

simplify

2^{2} + 6^{2}

210

Decimal Notation

6.32455 \dots

Solution steps

2^{2} + 6^{2}

2^{2} + 6^{2} = 40

= 40

Prime factorization of

40 : 2^{3} \cdot 5

= 2^{3} \cdot 5

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Apply radical rule:

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

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

= 2^{2} 2 \cdot 5

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 210

\frac{24 + 3 i}{6 - 3 i}

(\frac{2}{3})^{15}

- 3^{7}

(2 x - y)^{4}

x (2 - x)^{2}