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Single example with detailed solution for rationalising a binomial denominator which contains surds.
Adapted from 'Surds: rationalising the denominator conjugate' by Ben Brawn.
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
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From users who are members of Prearrival :
| John Hodkinson | said | Ready to use | 8 years, 7 months ago |
Luke Park
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said | Needs to be tested | 8 years, 7 months ago |
History
John Hodkinson 8 years, 7 months ago
Gave some feedback: Ready to use
John Hodkinson 8 years, 7 months ago
Gave some feedback: Ready to use
Luke Park 8 years, 7 months ago
Gave some feedback: Needs to be tested
Luke Park 8 years, 8 months ago
Created this as a copy of Surds: rationalising the denominator conjugate.| Name | Status | Author | Last Modified | |
|---|---|---|---|---|
| Surds: simplifying | Ready to use | Ben Brawn | 12/02/2025 00:21 | |
| Surds: multiplication | Ready to use | Ben Brawn | 02/06/2016 06:49 | |
| Surds: fraction of square roots resulting in rational | Ready to use | Ben Brawn | 12/02/2025 00:20 | |
| Surds: square root of fraction resulting in rational | Ready to use | Ben Brawn | 12/02/2025 00:20 | |
| Surds: rationalising the denominator simple | Ready to use | Ben Brawn | 12/02/2025 00:20 | |
| Surds: rationalising the denominator conjugate | Ready to use | Ben Brawn | 12/02/2025 00:14 | |
| Tore's copy of Surds: simplifying | Ready to use | Tore Gaupseth | 01/06/2016 09:47 | |
| Numbers VI: surds (rationalising the denominator - simple EXAMPLE) | Ready to use | Luke Park | 08/08/2016 16:06 | |
| Numbers VI: surds (rationalising the denominator - conjugate EXAMPLE) | Ready to use | Luke Park | 08/08/2016 16:41 |
There are 4 other versions that do you not have access to.
| Name | Type | Generated Value |
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| questnum | integer |
2
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| surdlist | list |
[ 10, 17 ]
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| surd1 | integer |
17
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| surd2 | integer |
10
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| tempden | integer |
7
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| cancel | number |
1
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| ansnummult | number |
2
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| ansden | number |
7
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| ran | integer |
-1
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| densign | string |
$\,-\,$
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| conjsign | string |
$\,+\,$
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| secondnummult | number |
2
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| Name | Type | Generated Value |
|---|
Generated value: integer
- ansnummult
- cancel
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
Given the fraction {questnum}√{surd1}{densign}√{surd2}
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Note: This question requires the larger surd term to be entered on the left and the smaller one on the right e.g. 2√7+5√36.
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