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3 years ago

How do I solve this? Please show work, thank you.

Mathematics

2 answers:

LekaFEV [45]3 years ago

5 0

Answer:

a x sqrt(7) - 49sqrt(x)

Step-by-step explanation:

sqrt(7x) [ sqrt(x) - 7sqrt(7)]

Distribute

sqrt(7x) *sqrt(x) - sqrt(7x)*7sqrt(7)

We know that sqrt(a) sqrt(b)= sqrt(ab)

sqrt(7x^2) - 7sqrt(7^2 *x)

Now lets separate out the perfect squares

sqrt(7) *sqrt(x^2) - 7sqrt(7^2)*sqrt(x)

x sqrt(7) - 7*7sqrt(x)

x sqrt(7) - 49sqrt(x)

m_a_m_a [10]3 years ago

3 0

Answer:

√(7·x)·(√x - 7·√7)

= √(7·x)·√x - √(7·x)·7·√7

= √7·√x·√x - √7·√x·7·√7

= √7·x - 49·√x

= x·√7 - 49·√x

So answer a is correct.

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$\begin{gathered} 2\cdot35=2\cdot(30+5) \\ \text{Distributing the multiplication over the addition:} \\ 2\cdot35=(2\cdot30)+(2\cdot5) \\ \text{ Solving each multiplication on the right} \\ 2\cdot35=60+10 \\ 2\cdot35=70 \end{gathered}$

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