ANSWER
![12 \sqrt{5}](https://tex.z-dn.net/?f=12%20%5Csqrt%7B5%7D%20)
EXPLANATION
The given expression is
![\sqrt{2} \times \sqrt{72} \times \sqrt{5}](https://tex.z-dn.net/?f=%20%5Csqrt%7B2%7D%20%20%5Ctimes%20%20%5Csqrt%7B72%7D%20%20%5Ctimes%20%20%5Csqrt%7B5%7D%20)
The middle radical contains a perfect square.
![\sqrt{2} \times \sqrt{36 \times 2} \times \sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%20%20%5Ctimes%20%20%5Csqrt%7B36%20%5Ctimes%202%7D%20%20%5Ctimes%20%20%5Csqrt%7B5%7D%20)
![\sqrt{2} \times \sqrt{36} \times \sqrt{2} \times \sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%20%20%5Ctimes%20%20%5Csqrt%7B36%7D%20%20%20%5Ctimes%20%20%5Csqrt%7B2%7D%20%5Ctimes%20%20%5Csqrt%7B5%7D%20)
![6\sqrt{2} \times \sqrt{2} \times \sqrt{5}](https://tex.z-dn.net/?f=6%5Csqrt%7B2%7D%20%20%5Ctimes%20%20%5Csqrt%7B2%7D%20%5Ctimes%20%20%5Csqrt%7B5%7D%20)
Note that:
![\sqrt{a} \times \sqrt{a} = a](https://tex.z-dn.net/?f=%20%5Csqrt%7Ba%7D%20%20%5Ctimes%20%20%5Csqrt%7Ba%7D%20%20%3D%20a)
![6\times 2 \sqrt{5} = 12 \sqrt{5}](https://tex.z-dn.net/?f=6%5Ctimes%202%20%5Csqrt%7B5%7D%20%20%3D%2012%20%5Csqrt%7B5%7D%20)
Answer:
Area of the triangle is 121 cm²
Step-by-step explanation:
To solve this, we will follow the steps below;
We will first find the height of the triangle, from the diagram below:
opposite = h where h is the height of the triangle
adjacent = 7
Ф=68°
Using trig.ratio
tan Ф = opposite/adjacent
tan 68° = h/7
h = 7 tan 68° = 17.33
height of the triangle =17.33 cm
From the question, base(b) = 14 cm
Area of a triangle = 1/2 × b × h
=1/2×14×17.33
=121.31
≈ 121 cm²
Area of the triangle is 121 cm²
Answer:
A
Step-by-step explanation:
A is correct. We're going from fractional power (1/3) to the corresponding radical equivalent (∛5).
Answer:
21
Step-by-step explanation:
.28 * 75