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Radical Expressions
Helping with Simplifying,Adding, Subtracting, and Multiplying
| Question | Answer |
|---|---|
| Simplify <p>-9√15+10√15</p> | <p><strong>√15</strong></p> <p>Since radicals have the same index and the same radicand, they are like radicals, so we can add them together.</p> |
| <p><strong>Multiply</strong></p> <p>³√16 x ³√4</p> | <p>According to the rule:<sup> 3</sup>√16×<sup>3</sup>√4=<sup>3</sup>√16×4=<sup>3</sup>√64 =<sup> 3</sup>√4<sup>3</sup> = <span style="color: #888888;"><strong><span style="color: #000000;">4</span></strong></span |
| <p>Add and/or Substruct<br /><br />-√27-3√45-√20+2√45<br /><br /></p> | First, simplify each radical, then add and subtract any like radicals. -3√3-5√5 |
| <p>Simplify</p> <p><img src="http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut39ex2a.gif" alt="example 2a" width="93" height="29" /></p> | Using the product rule: <center><center><img src="http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut39ex2b.gif" alt="example 2b" width="108" height="89" /><br /> </center></center> <p><br /> </p> |
| <p>Multiply and simplify <br /><img src="http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut40ex4a.gif" alt="example 3c" width="90" height="25" /></p> | <div align="left"><img src="http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut40ex4b.gif" alt="example 4a" width="104" height="77" /></div> |
| Use the quotient rule to divide and then simplify:<p><img src="http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut39ex8a.gif" alt="example 8a" width="66" height="50" /></p> | <div align="left"> <div align="left"><img style="display: block; margin-left: auto; margin-right: auto;" src="http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut39ex8b.gif" alt="example 8b" width="80" height="152" /></div> </div> |
| <p> Multiply and simplify <br /><img src="http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut40ex6a2.gif" alt="example 5b" width="164" height="25" /></p> | <p> <strong>Using distributive property twice we get:</strong></p> <div align="left"><img src="http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut40ex6b.gif" alt="example 6a" width="287" height="85" /></div> |
| Simplify and Combine: </strong></p> <p style="text-align: center;" align="left"><img src="http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut40prob1b.gif" alt="problem 1b" width="94" height="46" /></p> <p style="text-align: cent | <div align="left"><img style="display: block; margin-left: auto; margin-right: auto;" src="http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut40ad1b2.gif" alt="ad1b2" width="106" height="168" /></div> |
| <div align="left"> <p><strong>Find the midpoint of the line segment connecting</strong></p> <p>(6, 5) and (12, 9).</p> </div> | According to the Midpoint formula: =((6+12)/2,(5+9)/2)=(18/2, 14/2) <div style="text-align: center;" align="left"><strong>=(9,7)</strong></div> |
| Find the distance between two points (1,4)and(4,0) | According to the Distance formula: <p><span style="font-family: Century Gothic, Arial, Helvetica;"><img src="http://www.teacherschoice.com.au/maths_library/analytical%20geometry/Alg_151.gif" alt="" width="266" height="217" border="0" /></span></p> |
Created by:
Lushina
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