Answer:
Step-by-step explanation:
1) 9√32 - √2
= 9*[tex]\sqrt{2*16}[/tex] - √2
= 9*4√2 - √2
= 35√2
2) √24 + √54
= [tex]\sqrt{4*6}[/tex] + [tex]\sqrt{9*6}[/tex]
= 2√6 + 3√6
= 5√6
3) √12 - 6√3
= [tex]\sqrt{4*3}[/tex] - 6√3
=2√3 - 6√3
= -4√3
5) (4√3)
= [tex]\sqrt{16*3}[/tex]
= √48
6) √32/√2
= [tex]\sqrt{16*2} \sqrt{2}[/tex]
= [tex]4\sqrt{2} *\sqrt{2}[/tex]
= 4*2
= 8
7) (3+√5)(2+√5)
= 6 + 3√5 + 2√5 + 5
= 11 + 5√5
