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

The solution to (i*sqrt(5))^2*3 is -15

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simplify (isqrt(5))^23

simplify

(i \cdot 5)^{2} \cdot 3

- 15

Solution steps

(i 5)^{2} \cdot 3

Apply exponent rule:

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

(i 5)^{2} = i^{2} (5)^{2}

= i^{2} (5)^{2} \cdot 3

(5)^{2} = 5

= 5 i^{2} \cdot 3

Apply imaginary number rule:

i^{2} = - 1

= 5 (- 1) \cdot 3

Multiply the numbers:

5 (- 1) = - 5

= - 5 \cdot 3

Multiply the numbers:

- 5 \cdot 3 = - 15

= - 15

(2 n + 2)^{2}

+ \frac{8 a ^{3} - 27}{9 - 12 a + 4 a ^{2}}

0.00 9^{2}

18 \times \frac{1}{2}

- 2 \times - 2