Answer & Step-by-step explanation:
<em>(5√2 - 4√3)(5√2 - 4√3)</em>
We can rewrite this equation into a more simpler form.
<em>(5√2 - 4√3)²</em>
Now, we multiply. When multiplying, its important we multiply each term instead of combining them together.
When you multiply a radical by itself, then the base number will be by itself as the product.
So......
<em>(5)² = 25</em>
<em>(4)² = 16</em>
<em>(√2)² = 2</em>
<em>(√3)² = 3</em>
So, now the equation looks like this..
<em>(25 * 2) + (16 * 3)</em>
Multiply the terms.
<em>50 + 48</em>
Add the numbers.
<em>50 + 48 = 98</em>
So, your answer will be answer choice D. The radical in choice D represents the radicals that are in the problem multiplied together.
