Question

what would be the denominator after rationalizing 7/(5 root 3 - 5root 2)
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Answer 1

Answer = 25

Refer the attachment for the answer

Answer 2

Answer:

$\frac{7( \sqrt{3} + \sqrt{2} )}{5}$

Step-by-step explanation:

$\frac{7}{5 \sqrt{3} - 5 \sqrt{2} }$

$= \frac{7}{5( \sqrt{3} - \sqrt{2} )}$

Rationalise the denominator by multiplying both numerator and denominator by (√3+√2)

$= \frac{7 \times ( \sqrt{3} + \sqrt{2} )}{5( \sqrt{3} - \sqrt{2} ) \times ( \sqrt{3} + \sqrt{2} ) }$

$= \frac{7( \sqrt{3 } + \sqrt{2} )}{5(3 - 2)}$

$= \frac{7( \sqrt{3} + \sqrt{2} ) }{5(1)}$

$= \frac{7( \sqrt{3} + \sqrt{2} )}{5}$

Hope this answer and explanation help you...