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Popular >

simplify sqrt(2^2+4^2)

Solution

simplify

2^{2} + 4^{2}

Solution

25

+1

Decimal Notation

4.47213 \dots

Solution steps

2^{2} + 4^{2}

2^{2} + 4^{2} = 20

= 20

Prime factorization of

20 : 2^{2} \cdot 5

= 2^{2} \cdot 5

Apply radical rule:

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

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

= 2^{2} 5

Apply radical rule:

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

2^{2} = 2

= 25

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Frequently Asked Questions (FAQ)

What is sqrt(2^2+4^2) ?
The solution to sqrt(2^2+4^2) is 2sqrt(5)