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Popular >

simplify (isqrt(-5))^2

Solution

simplify

(i - 5)^{2}

Solution

5

Solution steps

(i - 5)^{2}

Apply exponent rule:

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

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

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

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

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

Apply exponent rule:

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

i^{2} i^{2} = i^{2 + 2}

= 5 i^{2 + 2}

Add the numbers:

2 + 2 = 4

= 5 i^{4}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

i^{4} = (i^{2})^{2}

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

Apply imaginary number rule:

i^{2} = - 1

= 5 (- 1)^{2}

(- 1)^{2} = 1

= 5 \cdot 1

Multiply the numbers:

5 \cdot 1 = 5

= 5

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\frac{7 x + 5}{- 3} \leq 5 x + 2

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Frequently Asked Questions (FAQ)

What is (isqrt(-5))^2 ?
The solution to (isqrt(-5))^2 is 5