What is sqrt(2*3^2*5^5) ?

The solution to sqrt(2*3^2*5^5) is 75sqrt(10)

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simplify sqrt(23^25^5)

simplify

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

7510

Decimal Notation

237.17082 \dots

Solution steps

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

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

= 2 3^{2} 5^{5}

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3 5^{5}

5^{5} = 255

= 2 \cdot 3 \cdot 255

Multiply the numbers:

3 \cdot 25 = 75

= 2 \cdot 755

= 7525

Apply radical rule:

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

25 = 2 \cdot 5

= 75 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 7510

\frac{1 0 ^{8} ( 1 0 ^{- 5} )}{1 0 ^{- 6}}

- 8108 + 12

\frac{1}{5} \times 2

(- 26)^{2}

\frac{2 x ^{2} - 2}{3 x ^{2} + 6 x + 3}