Answer:
(1) 9
(2) [tex]\sqrt{6}[/tex]
(3) 6([tex]\sqrt{6}[/tex])
Step-by-step explanation:
From the question,
(1) ([tex]\sqrt{9}[/tex])²
Applyin the law of multiplication of surds
([tex]\sqrt{9}[/tex])² = (
(2) ([tex]\sqrt{2}[/tex])× ([tex]\sqrt{3}[/tex]) =
Also applying the the law of multiplication of surd
([tex]\sqrt{2\\}[/tex])×([tex]\sqrt{3}[/tex]) = ([tex]\sqrt{6}[/tex]) ( This is an irational answer)
∴ ([tex]\sqrt{2}[/tex])×([tex]\sqrt{3}[/tex]) = [tex]\sqrt{6}[/tex]
(3) 2([tex]\sqrt{2}[/tex])×3([tex]\sqrt{3}[/tex])
Also applying the law of multiplication of surds i.e Multiply surds to surds and whole number to whole number
= 2×3×([tex]\sqrt{2}[/tex])×([tex]\sqrt{3}[/tex])
6×([tex]\sqrt{6}[/tex]) = 6(
