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The value of $1 7 + 32$ after rationalizing it is [[1]].

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answer is 7 − 3 2 31.

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Detailed Solution

The value of

1 7 + 32

after rationalizing it is

32 − 7 11

.
Given-

1 7 + 32

We can rationalize

1 7 + 32

by multiplying the denominator and numerator by its conjugate that is

7 − 32

.
Thus,

1 7 + 32 = 1 7 + 32 7 − 32 7 − 32 ⇒ 1 7 + 32 = 7 − 32 49 − 18 [∵ (a + b) (a − b) = a 2 − b 2] ⇒ 1 7 + 32 = 7 − 32 31

Therefore, the value of

1 7 + 32

after rationalizing it is

7 − 32 31

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