Adding and Subtracting Square Roots

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Presentation transcript:

Adding and Subtracting Square Roots

Simplifying Square Roots Flow Chart Given a square root that is NOT a perfect Square. Break it down into its Factors Find a factor that is a PERFECT SQUARE Separate into two separate radicals. Take the square root of the PERFECT SQUARE, Multiply the answer to the Perfect Square by the radical that was not a perfect square.

Always make sure the number under the radical is in simplest form by…. Asking yourself… Can I simplify this radical any further? Are there any factors of the number that are perfect squares? ***Always makes sure the number can not be further factored by 4, 9, 16, 25, 36,….etc.

Just as you ADD the LIKE TERM of X…. You ADD the LIKE TERM of …. When ADDING and SUBTRACTING Square Roots…..it is very similar to ADDING and SUBTACTING LIKE TERMS. Just as you ADD the LIKE TERM of X…. COEFFICIENTS You ADD the LIKE TERM of …. LIKE TERMS

Adding and Subtracting Square Roots Flow Chart Make sure all Square Roots are in Simplest Form. Simplify all Square Roots Check for LIKE TERMS Add/Subtract the COEFFICIENTS ONLY ADD or SUBTRACT Terms that have the SAME Square ROOT! Once you Combine Like Terms, You place the new Coefficient in front of The Square Root.

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