Rationalise :[tex] \frac{1}{2 + \sqrt{3} } [/tex]Plz help It’s very important plz don’t spam About the author Alexandra
Answer: [tex]\mathtt\red{METHOD \: USED:-}[/tex] [tex]\mathtt{RATIONALISING \: DENOMINATOR}[/tex] [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex] [tex]\mathtt\red{SOLUTION:-}[/tex] [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex] [tex] \mathfrak{ = \frac{1}{2 + \sqrt{3} } \times \frac{2 – \sqrt{3} }{2 – \sqrt{3} } }[/tex] [tex]\mathfrak{ = \frac{2 – \sqrt{3} }{ ({2})^{2} – ({ \sqrt{3} })^{2} } }[/tex] [tex]\mathfrak{ = \frac{2 – \sqrt{3} }{4 – 3} }[/tex] [tex] \mathfrak{ = \frac{2 – \sqrt{3} }{1} }[/tex] [tex] \mathfrak{ = 2 – \sqrt{3} }[/tex] Reply
Answer:
[tex]\mathtt\red{METHOD \: USED:-}[/tex]
[tex]\mathtt{RATIONALISING \: DENOMINATOR}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\mathtt\red{SOLUTION:-}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex] \mathfrak{ = \frac{1}{2 + \sqrt{3} } \times \frac{2 – \sqrt{3} }{2 – \sqrt{3} } }[/tex]
[tex]\mathfrak{ = \frac{2 – \sqrt{3} }{ ({2})^{2} – ({ \sqrt{3} })^{2} } }[/tex]
[tex]\mathfrak{ = \frac{2 – \sqrt{3} }{4 – 3} }[/tex]
[tex] \mathfrak{ = \frac{2 – \sqrt{3} }{1} }[/tex]
[tex] \mathfrak{ = 2 – \sqrt{3} }[/tex]