Question

rationalise 1/7+5√2
​

Answer 1

Answer:

4.9/5.

marks as brainleast

Answer 2

\frac{1}{7 + 5 \sqrt{2} }

7+5

2

1

By Rationalization,

⇒\frac{1}{7 + 5 \sqrt{2} }

7+5

2

1

×\frac{7 - 5 \sqrt{2} }{7 -5 \sqrt{2} }

7−5

2

7−5

2

⇒\frac{7 - 5 \sqrt{2} }{(7)^2 - ( 5\sqrt{2})^2 }

(7)

2

−(5

2

)

2

7−5

2

⇒\frac{7 - 5 \sqrt{2} }{49 - 50}

49−50

7−5

2

⇒\frac{7 - 5 \sqrt{2} }{-1}

−1

7−5

2

⇒\frac{-1( -7 + 5 \sqrt{2}) }{-1}

−1

−1(−7+5

2

)

⇒-7 + 5√2

i hope this will help you

-by ABHAY