Hi, my name is Hayden. I am a high-performing 3rd year Physics student at The University of Warwick. I get excited about all things science and I hope that I can help you not only learn your material but also understand why it is a useful thing to know. As a person, I am very relaxed. Hence, if you tend to get stressed out when you don't understand something, I'm sure we can balance each other out and figure out a way to make it 'click'. As for what you want to be taught: that's up to you. Exam questions, lesson-like explanations of theory, helping you work through some homework - you decide and I'll do my best to help. Still not convinced? Book a free 'meet the tutor' session with me to get a feel for my personality and teaching style. I look forward to meeting with you, thanks.Hi, my name is Hayden. I am a high-performing 3rd year Physics student at The University of Warwick. I get excited about all things science and I hope that I can help you not only learn your material but also understand why it is a useful thing to know. As a person, I am very relaxed. Hence, if you tend to get stressed out when you don't understand something, I'm sure we can balance each other out and figure out a way to make it 'click'. As for what you want to be taught: that's up to you. Exam questions, lesson-like explanations of theory, helping you work through some homework - you decide and I'll do my best to help. Still not convinced? Book a free 'meet the tutor' session with me to get a feel for my personality and teaching style. I look forward to meeting with you, thanks.

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To simplify a surd, remember that

**sqrt(a*b) = sqrt(a)*sqrt(b)**

If either a or b are square numbers, you can simply write its square root. Hence, to simplify a surd, you must look for any factors of the number inside the square root that are sqaure numbers.

For example,

**sqrt(20) = sqrt(4*5) = sqrt(4)*sqrt(5)**

**sqrt(4) = 2** therefore **sqrt(20) = 2sqrt(5)**

To simplify a surd, remember that

**sqrt(a*b) = sqrt(a)*sqrt(b)**

If either a or b are square numbers, you can simply write its square root. Hence, to simplify a surd, you must look for any factors of the number inside the square root that are sqaure numbers.

For example,

**sqrt(20) = sqrt(4*5) = sqrt(4)*sqrt(5)**

**sqrt(4) = 2** therefore **sqrt(20) = 2sqrt(5)**

If a set of equations has more unknowns than equations, you cannot get a value for each unknown. However, you can find the relationships between the variables.

Start by rearranging one variable in terms of the others and then plug that equation into the others, eliminating one variable. You will then be able to link the rest of the variables together in terms of each other.

Finally, set one variable as a parameter, say **u**, and give the values of all the variable in terms of that uniting parameter.

For example, you will end up with something like:

**x = 2u - 1**

**y = 1/2u + 4**

**z = u**

If a set of equations has more unknowns than equations, you cannot get a value for each unknown. However, you can find the relationships between the variables.

Start by rearranging one variable in terms of the others and then plug that equation into the others, eliminating one variable. You will then be able to link the rest of the variables together in terms of each other.

Finally, set one variable as a parameter, say **u**, and give the values of all the variable in terms of that uniting parameter.

For example, you will end up with something like:

**x = 2u - 1**

**y = 1/2u + 4**

**z = u**

For all quadratic equations, you can use the **quadratic formula**. Given an equation of the form **ax ^{2}+bx+c**, you can plug those values into this formula:

**x _{1}, x_{2 }= (-b +/- sqrt(b^{2 }- 4ac)) / 2a**

Note: the term **b ^{2 }- 4ac **is called the

For all quadratic equations, you can use the **quadratic formula**. Given an equation of the form **ax ^{2}+bx+c**, you can plug those values into this formula:

**x _{1}, x_{2 }= (-b +/- sqrt(b^{2 }- 4ac)) / 2a**

Note: the term **b ^{2 }- 4ac **is called the