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Senior Secondary

Further Mathematics

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935 prompts matching "Rationalising a denominator with a surd and integer"

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

Structured question: new equation with roots 1/alpha and 1/beta

I am in SS 2. Set me a multi-part question where I first find the sum and product of the r

Simplify the surd expression sqrt(72) + sqrt(18)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(72) + sqrt(18

Simplify the surd expression sqrt(50) - sqrt(8)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify sqrt(50) - sqrt(8)

Simplify the surd expression (3+sqrt2)(3-sqrt2)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (3+sqrt2)(3-sqrt2)

Simplify the surd expression 5/(1+sqrt3)

Act as my SS2 Further Maths tutor. Show me step by step how to simplify 5/(1+sqrt3), extra

Simplify the surd expression (2+sqrt5)^2

Act as my SS2 Further Maths tutor. Show me step by step how to simplify (2+sqrt5)^2, extra

Teach me how to simplify surds

Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s

Quiz me on simplifying surds

Act as my SS2 Further Maths tutor. Quiz me with five surd expressions to simplify, and che

Find sum and product of roots of 2x^2 - 5x + 3 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

Find sum and product of roots of x^2 + 4x - 12 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

Find sum and product of roots of 3x^2 + 7x - 6 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

Find sum and product of roots of x^2 - 8x + 15 = 0

Act as my SS2 Further Maths tutor. Show me how to find the sum and product of the roots of

Teach me writing the sum and product of the roots from the coefficients

You are my SS2 Further Mathematics tutor. Teach me writing the sum and product of the root

Quiz me on the sum and product of the roots of a cubic

Act as my SS2 Further Maths tutor. Quiz me with five quadratic equations and ask me to fin

Give me practice on sum and product of roots

Act as my SS2 Further Maths tutor. Give me eight practice questions on finding the sum and

Teach me solving a linear and a quadratic equation by substitution

You are my SS2 Further Mathematics tutor. Teach me solving a linear and a quadratic equati

Quiz me on line and curve intersection conditions

Act as my SS2 Further Maths tutor. Quiz me with three different line-and-curve pairs, and

Give me practice adding and subtracting polynomials

Act as my SS2 Further Maths tutor. Give me eight practice questions on adding and subtract

Quiz me on the factorising a cubic with the factor theorem

Act as my SS2 Further Mathematics tutor and quiz me on factorising a cubic with the factor

Sum and product of roots of a cubic equation

Act as my SS2 Further Maths tutor. Teach me how to find the sum and product of the roots o

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