Q. 2 C4.2( 15 Votes )

# Let us simplify

Simplifying 1st part by rationalizing the expression by multiplying and dividing by 2 + √2

=  = = 4√3 + 2√6

Simplifying 2nd part by rationalizing the expression by multiplying and dividing by 4√3 + √18

=

Simplifying 3rd part by rationalizing the expression by multiplying and dividing by 3 + √12

= -

Putting all values we get;

4√3 + 2√6 – (4√3 – √18) + (3√2 + √24)

4√3 + √6 × 22 – (4√3 – √18) + (√2 × 32 + √24)

4√3 + √24 – (4√3 – √18) + (√18 + √24)

= 2√24 = 4√6

Hence,

= 4√6

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