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Popular >

simplify (isqrt(3))^3

Solution

simplify

(i 3)^{3}

Solution

- 33 i

Solution steps

(i 3)^{3}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(i 3)^{3} = i^{3} (3)^{3}

= i^{3} (3)^{3}

(3)^{3} = 33

= 33 i^{3}

Simplify

i^{3} : - i

= 33 (- i)

Apply rule:

a (- b) = - ab

33 (- i) = - 33 i

= - 33 i

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Frequently Asked Questions (FAQ)

What is (isqrt(3))^3 ?
The solution to (isqrt(3))^3 is -3sqrt(3)i