SQUARE ROOTS
[tex] \red{┈──┈──┈──┈──┈──┈──┈──┈──┈}[/tex]
[tex]\large\color{red}\mathcal{ANSWERS:}[/tex]
1. √5 × √12
answer: [tex]\large»[/tex][tex]\tt 2\sqrt{15}[/tex]
[tex]\bold{solution:}[/tex]
- [tex]\tt{\sqrt{5} × \sqrt{12} = \sqrt{60}}[/tex]
- simplify: [tex]\tt{2 \sqrt{15}}[/tex]
2. √3 (√6+√24+√54)
answer: [tex]\large»[/tex][tex]\tt{18 \sqrt{2}}[/tex]
[tex]\bold{solution:}[/tex]
- [tex]simplify \: the \: radical \: expression \\ \tt\sqrt{3} ( \sqrt{6} + \sqrt{24} + \sqrt{54}) \\ \tt\sqrt{3}( \sqrt{6} + \green{2\sqrt{6}} + \green{3\sqrt{6}}[/tex]
- [tex]collect \: like \: terms \\ \tt \sqrt{3} \: ( \sqrt{6} + 2 \sqrt{6} +3 \sqrt{6} ) \\ \tt \sqrt{3} \times \green{6 \sqrt{6} }[/tex]
- [tex]calculate \: the \: product \\ \tt \sqrt{3} \times 6 \sqrt{6} = \green{6 \sqrt{18} }[/tex]
- [tex]simplify \: the \: radical \: expression \\ \tt6 \sqrt{18} = \green{18 \sqrt{2} }[/tex]
[tex]\red{┈──┈──┈──┈──┈──┈──┈──┈──┈}[/tex]
#BRAINLYFAST
