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Popular >

simplify sqrt(2187)

Solution

simplify

2187

Solution

273

+1

Solution steps

2187

Prime factorization of

2187 : 3^{7}

= 3^{7}

Apply exponent rule:

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

3^{7} = 3^{6} \cdot 3

= 3^{6} \cdot 3

Apply radical rule:

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

3^{6} \cdot 3 = 3^{6} 3

= 3^{6} 3

3^{6} = 27

= 273

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Frequently Asked Questions (FAQ)

What is sqrt(2187) ?
The solution to sqrt(2187) is 27sqrt(3)