524 prompts matching "Proving that root 2 is irrational"
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Verifying an index law with numbers
I am in SS 1. I'm going to explain verifying that a^m divided by a^n equals a^(m-n) using
Multi-part index exam question with a real context
I am in SS 1. Show me a fully worked Cambridge/Additional Maths style solution to a questi
Multiplying a surd by an integer
I am in SS 1. Teach me multiplying a surd by a whole number, such as 4 times root 5, and s
Squaring a surd expression
I am in SS 1. Teach me squaring a binomial surd expression, such as (2 + root 5)^2, showin
Solving a simple surd equation
I am in SS 1. Teach me solving a surd equation, such as solving root(x + 4) = 3, and check
Estimating the value of a surd
I am in SS 1. I'm going to explain estimating the approximate value of a surd such as root
Comparing the size of two surds
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on comp
Simplifying a fraction with a surd numerator
I am in SS 1. Teach me simplifying a fraction where the numerator contains a surd, such as
Surds in the quadratic formula
I am in SS 1. Quiz me with 5 short Additional Maths questions on why the quadratic formula
Dividing surds using the quotient rule
I am in SS 1. I'm going to explain simplifying a quotient of surds using the rule root a d
Surds combined with algebraic terms
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on simp
Simplifying nested surds
I am in SS 1. I'm going to explain simplifying an expression containing a surd within a su
Surds and indices together in one question
I am in SS 1. Teach me a question that requires converting a surd to index form, simplifyi
Set operations exam question, multi-part
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on a st
Logical reasoning puzzle solved using sets
I am in SS 1. I'm going to explain a short logical reasoning puzzle about groups of people
Solving for x when three terms are in geometric progression
I am in SS 1. Teach me finding the value of x given that three algebraic expressions in x
Alternating sequences and their pattern
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on iden
Dividing a line segment in a given ratio
I am in SS 1. Teach me finding the coordinates of a point that divides a line segment inte
Coordinate geometry proof: right-angled triangle
I am in SS 1. Give me a Cambridge IGCSE Additional Mathematics style exam question on usin
Perpendicular from a point to a line
I am in SS 1. Teach me finding the equation of the line through a given point that is perp