SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

  • Login
  • Get Help
  • About

Indices, SMB-025

Show working to find `a` and `b` such that  `a,b`  are real numbers and

`(sqrt32-6)/(3sqrt2) = a + bsqrt2`.  (2 marks)

Show Answers Only

`:. a = 4/3, \ b = -1`

Show Worked Solution
`(sqrt32-6)/(3sqrt2) xx (sqrt2)/(sqrt2)` `= (sqrt2(4sqrt2-6))/6`
  `= (8-6sqrt2)/6`
  `= 4/3-sqrt2`

 
`:. a = 4/3, \ b = -1`

Filed Under: Indices Tagged With: num-title-ct-pathc, smc-4228-75-Surd denominators

Copyright © 2014–2025 SmarterEd.com.au · Log in