Severity: Warning

Message: count(): Parameter must be an array or an object that implements Countable

Filename: controllers/calculator.php

Line Number: 37

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The given expression has a radical expression in the denominator.

Now multiply the numerator and denominator with (2 + √3).

This gives 4/ (2 - √3) * (2 + √3)/ (2 + √3)

4 * (2 + √3)/ (4 - 3) = 4* (2 + √3)/ 1 = 8 + 4√3.

The given expression has a radical expression in the denominator.

Now multiply the numerator and denominator with (3 + √5).

This gives 12/ (3 - √5) * (3 + √5)/ (3 + √5)

12 * (3 + √5)/ (9 - 5) = 12* (3 + √5)/ 4 = 9 + 3√5.