Question

rationalize 7+3×√(5)÷3+√(5) please answer in fraction

Answer 1

Given: The term 7+3×√(5)÷3+√(5)

To find: Rationalize the given term.

Solution:

• Now we have given the term:

                 7+3√(5) / 3+√(5)

• Now multiplying and dividing by 3-√(5), we get:

                 7+3√(5) / 3+√(5) × 3-√(5) / 3-√(5)

                 (7+3√(5) ) x (3-√(5)) / (3+√(5)) x (3-√(5))

                 21 - 7√5 + 9√5 - 15 / 9 - 5

                 6 + 2√5 / 4

                 3 + √5 / 2

Answer:

           So the rationalized term is 3 + √5 / 2.

Answer 2

Answer:

Given: The term 7+3×√(5)÷3+√(5)

To find: Rationalize the given term.

Solution:

Now we have given the term:

                 7+3√(5) / 3+√(5)

Now multiplying and dividing by 3-√(5), we get:

                 7+3√(5) / 3+√(5) × 3-√(5) / 3-√(5)

                 (7+3√(5) ) x (3-√(5)) / (3+√(5)) x (3-√(5))

                 21 - 7√5 + 9√5 - 15 / 9 - 5

                 6 + 2√5 / 4

                 3 + √5 / 2

Answer:

           So the rationalized term is 3 + √5 / 2.

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