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Question

The value of the expression

√(34 - 24√2) ×( 4 + 3√2).

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Solution

Clearly on factorization
we get,
(34-24√2)=(4-3√2)^2


√((34-24√2)(4+3√2))=√(((4-3√2)^2)(4+3√2))

=√((4-3√2)(16-18)

=√((4-3√2)*-2)

=√((6√2)-8)

=0.69

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