Question

If (√5 + 3)power 2 = a + b√5, then​

Answer 1

Answer:

${( \sqrt{5} + 3)}^{2} = 8 + 6 \sqrt{5}$

therefore a=8

b=6

Answer 2

Answer:

a= 14 and b = 6

Step-by-step explanation:

${( \sqrt{5} + 3) }^{2} = a + b \sqrt{5} \\ = > {( \sqrt{5} )}^{2} + {(3)}^{2} + 2 \times \sqrt{5} \times 3 = a + b \sqrt{5} \\ = > 5 + 9 + 6 \sqrt{5} = a + b \sqrt{5} \\ = > 14 + 6 \sqrt{5} = a + b \sqrt{5}$

Comparing both sides;

$a = 14$

and

$b = 6$