11.1 Examples for Simplifying (EX: 1 of 4) Look for factors of 50 that are perfect square numbers. Take the square root of 25. Write it outside the radical.

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11.1 Examples for Simplifying (EX: 1 of 4) Look for factors of 50 that are perfect square numbers. Take the square root of 25. Write it outside the radical sign. Check your results. Does your simplified expression match your original expression? 25 Leave 2 under the radical sign because you can’t simplify any further. Next Example

11.1 Examples for Simplifying (EX: 2 of 4) Look for factors of 124 that are perfect square numbers. Take the square root of 4. Write it outside the radical sign. Check your results. Does your simplified expression match your original expression? 4 Leave 31 under the radical sign because you can’t simplify any further. Next Example

Taking the square root of exponents: click screen to proceed. Even exponent – divide exponent by 2, move x outside radical sign Odd exponent – subtract 1, divide even exponent by 2. leave x under radical

11.1 Examples for Simplifying (EX:3 of 4) Variables – break apart because it has a odd exponent Take the square root of 4 and x 6. Check your results. Leave x under the radical sign because you can’t simplify any further. Next Example

11.1 Examples for Simplifying (EX: 4 of 4) Variables – even exponent (leave alone) Break apart 45 Take the square root of 9 and a 8. Check your results. Leave 5 under the radical sign because you can’t simplify any further.