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PEMDAS is an acronym to help you remember the order of operations in mathematical equations.First, you do expressions within Parenthesis and/or Exponents.Then, you do expressions involving Multiplication and/or Division.Finally, you do the expressions involving Addition and/or Subtraction.
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Rounded to two decimal places, 61/4 x 61/4 = 2.45. Due to the rules of adding exponents in a multiplication sum involving exponents, this is equal to 6(1/4 + 1/4) or the square root of 6.
That really depends how the numbers are expressed - you have to learn separately how to calculate with decimals, with fractions, with expressions involving square roots, etc.
Trigonometric identities involve certain functions of one or more angles. These identities are useful whenever expressions involving trigonometric functions need to be simplified.