Answer:
a = 7, b = 32
Step-by-step explanation:
Expand (5 + [tex]\sqrt{a}[/tex])²
noting that [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a
Hence
(5 + [tex]\sqrt{a}[/tex])² = 25 + 10[tex]\sqrt{a}[/tex] + a
Compare the values to b + 20[tex]\sqrt{7}[/tex]
For the 2 sides to be equal then
[tex]\sqrt{a}[/tex] = [tex]\sqrt{7}[/tex] ⇒ a = 7
and b = a + 25 = 7 + 25 = 32
