Answer: option a.
Step-by-step explanation:
Given the expression
, you need to remember:
The Product of powers property:

The Power of a power property:

And:
![\sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)
Therefore, as the index of the radical is 2, you can rewrite
as:

Rewrite this and simplify. Then:


This matches with the option a.
Answer:
105.876373581
Step-by-step explanation:
8.563 + 4.8292 = 13.3922
13.3922 × 9.183 = 122.9805726
122.9805726 ÷ 1.192 = 103.171621309
103.171621309 ÷ 1.192 = 86.5533735811
86.5533735811 + 19.323 = 105.876373581
Answer:
2/8 which simplifies to 0.111111
Step-by-step explanation:
By Pythagoras' Theorem:
Sum of the squares of the two side = Square of longest side
a² + b² = c²
a)
So let's check 7, 24, 25
Is 7² + 24² = 25² ?
7*7 + 24*24
49 + 576
=625.
Let us perform the other side 25²
25² = 25 * 25 = 625
Therefore the left hand side = Right hand side.
Therefore 7, 24, 25 is a Pythagorean Triple
b)
Let's check 9, 40, 41
Is 9² + 40² = 41² ?
9² + 40²
9*9+ 40*40
81 + 1600
=1681
Let us perform the other side 41²
41² = 41 * 41 = 1681
Therefore the left hand side = Right hand side.
Therefore 9, 40, 41 is a Pythagorean Triple.