4MA0 Higher January 2016 Paper 4R Q22

EdexcelHigherOld spec3 marksSurds

22 \((a + \sqrt{b})^2 = 49 + 12\sqrt{b}\) where \(a\) and \(b\) are integers, and \(b\) is prime.
Find the value of \(a\) and the value of \(b\)

(3)

Scheme	Marks
\(a^2 + a\sqrt{b} + a\sqrt{b} + b\) or \(a^2 + a\sqrt{b} + a\sqrt{b} + \left(\sqrt{b}\right)^2\)	M1
6	A1
13	A1
	(3)