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Senior Secondary

Further Mathematics

AI prompts for senior secondary learners.
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524 prompts matching "Proving that root 2 is irrational"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Worked Example: Why the square root of a non-square whole number is irrational

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on why th

Practice: Deciding whether root 16 is rational or irrational

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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IGCSE Additional Maths Y10: Proving that a quadratic expression is always positive — Show All Working

I am a Year 10 pupil taking Cambridge IGCSE Additional Mathematics. Set me a question on p

IGCSE Additional Maths Y10: Proving that a triangle is right-angled using gradients — Exam Technique

I am a Year 10 pupil taking Cambridge IGCSE Additional Mathematics. Show me how to handle

Proving a surd statement is true or false

I am in SS 1. I attempted an Additional Maths question on proving whether a given surd sta

WAEC Prep: Pi and root 2 as the two best-known irrational numbers

Act as my SS 1 Further Mathematics teacher setting an examination question. Give me a ques

Show All Working: Classifying a mixed list of numbers as rational or irrational

Act as my Further Mathematics examiner. I am in SS 1. Set me a question on classifying a m

Common Mistakes: Why a rational number added to an irrational one stays irrational

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Common Mistakes: Expressing root 50 as a multiple of root 2

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Common Mistakes: Rationalising a denominator of the form root a over root b

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Common Mistakes: Writing a root as a fractional index before simplifying

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Common Mistakes: Proving the sum formula by pairing the terms

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IGCSE Additional Maths Y10: Rejecting a root that the substitution forbids — Show All Working

I am a Year 10 pupil taking Cambridge IGCSE Additional Mathematics. Set me a question on r

IGCSE Additional Maths Y10: A cubic with only one real root — Common Mistakes

I am a Year 10 pupil taking Cambridge IGCSE Additional Mathematics. Show me the mistake ca

Distinguishing rational and irrational numbers

I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi

Solving a surd equation that gives an extraneous root

I am in SS 1. Quiz me with 3 short Additional Maths questions on solving a surd equation s

Worked Example: Adding two surds that simplify to the same root

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on adding

Worked Example: Rationalising a denominator that is a single surd

Act as my SS1 Further Mathematics tutor. Take me through one full worked example on ration

Quiz: Rationalising a denominator of the form one over root 3

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