Please can you help me I don't understand

Mathematics

1 answer:

Alexxx [7]3 years ago

8 0

I will show you how to do the first one.....we are finding the GCF...the largest number that goes into each number (same for variables)

1.) 20yx , 80x³ ( factor each number and variable)

20 = 2, 4, 5, 10, 20
y = y
x = x
80 = 2, 4, 5, 8, 10, 16, 20, 40, 80
x³ = x, x, x

what is the largest number that 20 and 80 have in common? 20...
how about the variables? x

so, the Greatest Common Factor (GCF is 20x)

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Simplify the radical expression.

tresset_1 [31]

To simplify this fraction, multiply the entire fraction by the conjugate of the denominator. The conjugate of a square root and a number being added to it would be the number <em>subtracted </em>from the square root. In other words, the conjugate of $\sqrt{a} + b$ would be $\sqrt{a} - b$ .

Applying that information to our fraction shown here, the conjugate of the denominator would be $\sqrt{3} - 4$ . We will multiply both the numerator and denominator of our original fraction by this expression to obtain our answer, as shown below.