Simplify-6√20+2√45+7√5 show Woking out to prove ans please

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

6 0

Answer:

$\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplifying the radicals

$\sqrt{20}$ = $\sqrt{4(5)}$ = $\sqrt{4}$ × $\sqrt{5}$ = 2 $\sqrt{5}$

$\sqrt{45}$ = $\sqrt{9(5)}$ = $\sqrt{9}$ × $\sqrt{5}$ = 3 $\sqrt{5}$

Thus

- 6(2 $\sqrt{5}$ ) + 2(3 $\sqrt{5}$ ) + 7 $\sqrt{5}$

= - 12 $\sqrt{5}$ + 6 $\sqrt{5}$ + 7 $\sqrt{5}$

= $\sqrt{5}$

You might be interested in

Explain how you can use place-value patterns to describe how 50 and 5,000 compare.

Kobotan [32]

<span>=> 50 and 5000
Place value are very useful to compare given numbers. Place value gives ideas on how big the number is and helps you compare easily what is greater and lesser.

Let’s use the given number:
50 => 50 has 2 digit whole number, which means it has a place value of tens
=> 5 tens and 0 ones.

5000 => is a 4 digit whole number, which means it as a place value of 5000
=> 5 thousands 0 hundreds, 0 tens and 0 ones.

5000 is 100 times greater than 50.
=> 50 x 100 = 5000</span>

6 0

3 years ago

PLEASE HELP!!! give an explanation if you can

Goryan [66]

Here I solved it for you on paper