3 years ago

Simplify the radical expression. Show all your steps. √363 - 3√27

Mathematics

1 answer:

siniylev [52]3 years ago

3 0

Answer:

2 sqrt(3)

Step-by-step explanation:

Simplify the following:

sqrt(363) - 3 sqrt(27)

sqrt(27) = sqrt(3^3) = 3 sqrt(3):

sqrt(363) - 33 sqrt(3)

sqrt(363) = sqrt(3×11^2) = 11 sqrt(3):

11 sqrt(3) - 3×3 sqrt(3)

-3×3 = -9:

11 sqrt(3) + -9 sqrt(3)

11 sqrt(3) - 9 sqrt(3) = 2 sqrt(3):

Answer: 2 sqrt(3)

You might be interested in

The numbers below follow a pattern.

borishaifa [10]

Answer:

0.03, 0.003

Step-by-step explanation:

The decimal moves over one place each time

4 0

3 years ago

The 12th roots of unity have arguments that are multiples of _____.

kirill [66]

360/12 = 30deg...so the arguments are multiples of 30deg.

5 0

2 years ago

Read 2 more answers

Solve for the variable h.<br> f=12gh<br> h=?

s344n2d4d5 [400]

$f=12gh\\\\12gh=f\ \ \ \ \ |divide\ both\ sides\ by\ 12g\\\\\boxed{h=\frac{f}{12g}}$

4 0

2 years ago

Read 2 more answers

What's the square root of 18

4vir4ik [10]

Answer:

4.24 to two decimal places

8 0

2 years ago

Read 2 more answers

Consider the quadratic function f(x) = –2x2 5x – 4. the leading coefficient of the function is?

evablogger [386]

Answer:

$\text{-2 is the leading coefficient of the quadratic equation }f(x)=-2x^2+5x-4$

Step-by-step explanation:

Given the quadratic function

$f(x)=-2x^2+5x-4$

we have to find the leading coefficient of given quadratic equation.

$\text{The general form of quadratic equation is }ax^2+bx+c=0$

The coefficient of $x^2$ i.e a is known as the leading coefficient.

Comparing given equation with the standard equation, we get

a=-2

$\text{Hence, -2 is the leading coefficient of the quadratic equation }f(x)=-2x^2+5x-4$

3 0

2 years ago

Read 2 more answers