Question

What is equivalent to 4 square root 5

Answer 1

2√20 and 4*5^1/2. Explanation Below:
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When we simplify 2√20, we get 4√5, and 5^1/2 is √5. Therefore, 4*5^1/2 is 4√5.
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Hope this helps!

Answer 2

Answer:

Option 1,3 and 4.

Step-by-step explanation:

Given : Expression 4 square root 5 i.e. $4\sqrt{5}$

To find : What is equivalent to $4\sqrt{5}$?

Solution :

We solve the given options to get the expression,

1) $2\sqrt{20}$

We can re-write as,

$2\sqrt{20}=2\sqrt{4\times 5}=4\sqrt 5$  

2) $6^{\frac{1}{2}}-5^{\frac{1}{2}}$

We can re-write as,

$6^{\frac{1}{2}}-5^{\frac{1}{2}}=\sqrt{6}-\sqrt{5}$            

3) $3\times5^{\frac{1}{2}+5^{\frac{1}{2}$

We can re-write as,

$3\times5^{\frac{1}{2}+5^{\frac{1}{2}=3\sqrt{5}+\sqrt5=\sqrt 5(3+1)=4\sqrt{5}$  

4) $4\times 5^{\frac{1}{2}}$

We can re-write as,

$4\times 5^{\frac{1}{2}}=4\sqrt{5}$  

5) $2\sqrt{10}$

We can re-write as,

$2\sqrt{10}=2\sqrt{2\times 5}$

6) $3\times 5^{\frac{1}{2}}$

We can re-write as,

$3\times 5^{\frac{1}{2}}=3\sqrt{5}$  

Therefore, From the following options the equivalent are option 1,3 and 4.