Question

please help me please true ans
Rationalize denominator​

Answer 1

Answer:

4 - root(15)

Step-by-step explanation:

Multiply denominator and numerator by denominator after changing the sign. (Here we change $\sqrt5+\sqrt3$ to $\sqrt5-\sqrt3$)

$Step 1: (\sqrt5-\sqrt3)(\sqrt5-\sqrt3) / (\sqrt5+\sqrt3)(\sqrt5-\sqrt3)\\Step 2: (\sqrt5-\sqrt3)^{2} / ((\sqrt5)^{2} - (\sqrt3)^{2}) \\Step 3: (5+3-2\sqrt5\sqrt3) / (5-3)\\Step 4: (8-2\sqrt15) / 2\\Step 5: 2[4-\sqrt15] / 2\\Step 6: 4-\sqrt15\\\\ANSWER: 4-\sqrt15$

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