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Popular >

simplify sqrt(25^2+50^2)

Solution

simplify

2 5^{2} + 5 0^{2}

Solution

255

+1

Decimal Notation

55.90169 \dots

Solution steps

2 5^{2} + 5 0^{2}

2 5^{2} + 5 0^{2} = 3125

= 3125

Prime factorization of

3125 : 5^{5}

= 5^{5}

Apply exponent rule:

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

5^{5} = 5^{4} \cdot 5

= 5^{4} \cdot 5

Apply radical rule:

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

5^{4} \cdot 5 = 5^{4} 5

= 5^{4} 5

5^{4} = 25

= 255

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Frequently Asked Questions (FAQ)

What is sqrt(25^2+50^2) ?
The solution to sqrt(25^2+50^2) is 25sqrt(5)