Question

$rationlise \: the \: denominator \: \frac{1}{7 + 3 \sqrt{2} }$
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Answer 1

Answer:

$\frac{7}{31} - \frac{3\sqrt{2} }{31}$

Step-by-step explanation:

multiply both numerator and denominator by (7-3√2),

we get

= (7-3√2) / (7+3√2)(7-3√2)

= (7-3√2) / (49-18)

= (7-3√2) / 31

= (7/31)-(3√2/31)

HOPE IT HELPS,

PLEASE THANK, FOLLOW AND MARK AS BRAINLIEST.

Answer 2

multiply both numerator and denominator by (7-3√2),

we get

= (7-3√2) / (7+3√2)(7-3√2)

= (7-3√2) / (49-18)

= (7-3√2) / 31

= (7/31)-(3√2/31)