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The value of $1 5 − 3$ after rationalizing it is [[1]].

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answer is 5 + 3 2.

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Detailed Solution

The value of

1 5 − 3

after rationalizing it is

5 + 3 2

.
Given-

1 5 − 3

We can rationalize

1 5 − 3

by multiplying the denominator and numerator by its conjugate that is

5 + 3

Thus,

1 5 − 3 = 1 5 − 3 5 + 3 5 + 3 ⇒ 1 5 − 3 = 5 + 3 5 − 3 [∵ (a + b) (a − b) = a 2 − b 2] ⇒ 1 5 − 3 = 5 + 3 2

Therefore, the value of

1 5 − 3

after rationalizing it is

5 + 3 2

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