Question

semplify

2√2-5√3+√2-3√3
​

Answer 1

Step-by-step explanation:

Given that

( 2√2 - 5√3 ) + ( √2 - 3√3 )

Use (a-b)2 = a2 - b2 + 2ab formula

[(2√2)2 - (5√3)2 + 2 × 2√2 × 5√3 ] +

[(√2)2 - (3√3)2 + 2 × √2 × 3√3 ]

[(4×2) - (25×3) + 2 × 10√6 ] +

[(2) - (9×3) + 2 × 3√6 ]

[8 - 75 + 20√6 ] + [ 2 - 27 + 6√6 ]

( - 67 + 20√6 ) + ( - 27 + 6√6 )

( -47√6 ) + ( -21√6 )

-47√6 - 21√6

√6 ( - 47 - 21 )

√6 ( -68 )

-68√6

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