Simplifying a basic radical expression root

The video tutorial explains the process of simplifying mathematical expressions, specifically focusing on the square root of 14. It begins by discussing the need to simplify or find the value of expressions. The tutorial then explores whether the square root of 14 can be simplified by rewriting it as a product of factors, but concludes that it cannot be simplified further. Finally, it demonstrates that while sqrt 14 remains unchanged, expressions like sqrt a^2 can be simplified to 'a', leading to the final answer of 'a times sqrt 14'.

What is the first step when trying to simplify sqrt 14?

• Divide 14 by 2

• Check if 14 is a square number

• Rewrite 14 as a sum of numbers

• Multiply 14 by another number

Which of the following is a correct product representation of 14?

• 5 * 3

• 7 * 2

• 14 * 3

• 6 * 2

Why can't sqrt 14 be simplified further?

• Because 14 cannot be expressed as a product of square numbers

• Because 14 is already a square number

• Because 14 is a prime number

• Because 14 is an even number

What is the result of simplifying sqrt a^2?

• sqrt a

• 2a

• a

• a^2

What is the final expression for the given problem?

• a * 14

• a * sqrt 14

• sqrt 14 * 2

• 14 * sqrt a