1,318 prompts matching "Why 2 root 3 and 5 root 3 count as similar surds"
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Explain why a matrix with zero determinant has no inverse
I am in SS 3. Explain why a matrix cannot be inverted when its determinant is zero, and gi
Quiz: Multiplying two surds and simplifying the result
Act as my SS3 Further Mathematics tutor and quiz me on multiplying two surds and simplifyi
Show All Working: Solving a logarithmic equation and rejecting the invalid root
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a
Learn: The sum and the product of the roots read from the coefficients
You are my personal SS3 Further Mathematics tutor. Teach me the sum and the product of the
Worked Example: The discriminant, and what each of its three cases means
Act as my SS3 Further Mathematics tutor. Take me through one full worked example on the di
Spot My Mistake: Forming an equation whose roots are alpha squared and beta squared
Act as my SS3 Further Mathematics tutor. Work a question on forming an equation whose root
WAEC Prep: Forming an equation whose roots are alpha over beta and beta over alpha
Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o
Spot My Mistake: The relations between roots and coefficients for a quartic
Act as my SS3 Further Mathematics tutor. Work a question on the relations between roots an
Show All Working: Counting the handshakes, or the lines joining n points
Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on counting t
WAEC Prep: A couple, and why its moment is the same about every point
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Spot my mistake: Assuming a quadratic with a negative discriminant has no roots at all
Act as my SS3 Further Mathematics tutor. Write a short answer on assuming a quadratic with
Structured question: rationalise and simplify a surd expression
I am in SS 3. Give me a structured question where I rationalise the denominator of a surd
Show that command word: surd simplification
I am in SS 3. Set me a 'show that' surd question where I must show a given expression simp
Show that command word: stationary point classification
I am in SS 3. Give me a 'show that' question requiring me to find a stationary point of a
Structured question: find and classify all stationary points
I am in SS 3. Set me a structured differentiation question where a cubic curve has two sta
Structured question: use Pascal's triangle to expand a binomial
I am in SS 3. Give me a structured question where I must write out the relevant row of Pas
Show that command word: Pascal's triangle row sums to a power of 2
I am in SS 3. Set me a 'show that' question asking me to show that the sum of the entries
Give me an exam formula sheet for sum and product of roots
I am in SS 3. Build me a short formula sheet covering every formula I need for sum and pro
Give me a past-paper style question bank for line and curve tangency conditions
I am in SS 3. Give me a bank of four exam-style questions on conditions for a line to be t
Give me a past-paper style question bank for trigonometric identities and equations
I am in SS 3. Give me a bank of four exam-style questions on proving identities and solvin