Question

multiply (5√2-6√3)(5√2+6√3)​

Answer 1

$it \: is \: in \: the \: form \: of \: (a + b)(a - b) = a {}^{2} - b { }^{2} \\ \\ so \: \: (5 \sqrt{2} - 6 \sqrt{3} )(5 \sqrt{2} + 6 \sqrt{3} ) \\ \\ = (5 \sqrt{2}) {}^{2} - (6 \sqrt{3}) {}^{2} \\ \\ = 25 \times 2 - 36 \times 3 \\ \\ = 50 - 108 \\ \\ = - 58$

Answer 2

Given:

(5√2-6√3)(5√2+6√3)​

To find:

Multiplication of the two expressions

Solution:

As we observe, the given expression is in the form of:

(a-b)(a+b) which is equal to (a^2 - b^2 )

where a= 5√2 and b= 6√3

So, we can write as:

(5√2)^2 -( 6√3)^2

Or, (25× 2 )- ( 36×3)

Or, 50-108 = -58

We can also simply multiply the terms and get a similar answer.

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The answer is -58.