Surd | Simultaneous Equation | Solve (m+n√2)(1–√2)^2 = 2–√2. @onlineMathsTV

Surd simplification is a common topics in mathematics. It involves very few rules that governs its operations.

Having two variables to be solved for concurrently in this question makes this surd challenge weird in nature but easy if you will follow the tricks about to show you in this video.

In this video, I will show you how to multiply two surds together, how to open surds brackets. You will learn the tricks to how to compare terms on the LHS with those on the RHS of an equation whenever you have more than one variables to solve for in an equation and also in order to form simultaneous equation from this kind of surd simplification.

Also in this video, I will guide you on how to handle simultaneous equations using the elimination method. I will show you the tricks and rules otherwise known as the secret guides to the elimination method.

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[SrisailamNavuluri]

Multiply both sides by (1+√2)^2.
(m+n√2)=√2(√2-1)(√2+1)(√2+1)
=√2×1×(√2+1)=2+√2
M=2, n=1.

[BeetleDude]

Eu amo esses vídeos. O professor sempre está de alto astral, sempre feliz ao mostrar a solução.
Obrigado pelo vídeo, mestre!