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zimovet [89]
3 years ago
14

What is the following product? (5 square root 2-4 square root 3) (5 square root 2-4 square root 3)

Mathematics
2 answers:
Zina [86]3 years ago
8 0

Answer:

(5 square root 2-4 square root 3) (5 square root 2-4 square root 3)

=   98 - 40\sqrt{6}

Step-by-step explanation:

i) (5\sqrt{2} - 4\sqrt{3}) × (5√2 - 4√3)

=(5\sqrt{2} × 5\sqrt{2}) - (5\sqrt{2} × 4\sqrt{3}) - (4\sqrt{3} × 5\sqrt{2}) + (4\sqrt{3} × 4\sqrt{3})

= 50 - 20\sqrt{6} - 20\sqrt{6} + 48

= 98 - 40\sqrt{6}

masya89 [10]3 years ago
5 0

Answer:

98 - 40√6

Step-by-step explanation:

The words expression can be represented as follows:

(5√2 - 4√3) (5√2 - 4√3)

The question is to find the products .

(5√2 - 4√3) (5√2 - 4√3)

Multiply through to open the bracket

25 × 2 - 20√6- 20√6 + 16 × 3

50 - 20√6 - 20√6 + 48

50 - 40√6 + 48

50 + 48 - 40√6

98 - 40√6

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The value of f(h(2)) =2 and h(f(16))= 14

<h3>What is function?</h3>

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input . Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters . The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved.

given:

f(x)= √x-1 , h(x)= x² + 5

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