Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the product of 4 and
8sqrt45 in simplest radical form?
Answer:

What is the product of $4$ and $8 \sqrt{45}$ in simplest radical form? $\newline$ Answer:

View step-by-step help

View step-by-step help

Roots of integers

Full solution

Q. What is the product of

4

and

8 \sqrt{45}

in simplest radical form?

\newline

Answer:

Identify Numbers and Operation: Identify the numbers and operation to be performed. $\newline$ We need to multiply $4$ by $8\sqrt{45}$ .
Multiply Whole Numbers: Multiply the whole numbers together. $4 \times 8 = 32$
Write Prime Factorization of $45$ : Write $45$ as a product of its prime factors to simplify the square root. $\newline$ $45 = 9 \times 5 = 3^2 \times 5$
Simplify Square Root: Simplify the square root of $45$ using its prime factorization. $\sqrt{45} = \sqrt{3^2 \times 5} = 3\sqrt{5}$
Multiply Results: Multiply the result from step $2$ with the simplified square root from step $4$ . $\newline$ $32 \times 3\sqrt{5} = 96\sqrt{5}$

More problems from Roots of integers

Question

f(x)=\frac{6 x+5}{2-\sqrt{14+5 x}}

\newline

We want to find

\lim _{x \rightarrow-2} f(x)

\newline

What happens when we use direct substitution?

\newline

1

\newline

(A) The limit exists, and we found it!

\newline

(B) The limit doesn't exist (probably an asymptote).

\newline

(C) The result is indeterminate.

Posted 9 months ago

Question

x^{4}+y^{2}=17

\newline

What is the value of

\frac{d^{2} y}{d x^{2}}

(-2,1)

\newline

Give an exact number.

Posted 8 months ago

Question

What is the area of the region bound by the graphs of

f(x)=\sqrt{x-2}, g(x)=14-x

x=2

\newline

1

\newline

\frac{19}{6}

\newline

\frac{99}{2}

\newline

\frac{151}{2}

\newline

\frac{45}{2}

Posted 7 months ago

Question

g(x)=x^{\frac{4}{3}}

\newline

g^{\prime}(27)=

Posted 8 months ago

Question

\ln \left(\frac{1}{\sqrt{e}}\right)

\newline

Posted 9 months ago

Question

\ln \left(\frac{1}{e}\right)

\newline

Posted 9 months ago

Question

y=(\sin^{-1}(5x^{2}))^{3}

Posted 8 months ago

Question

\left(10x^{3}-5x^{2}-6x\right)\div\left(2x^{2}\right)

Posted 8 months ago

Question

y=\cos^{4}x\sin^{4}x

Posted 8 months ago

Question

\frac{3}{5}-\frac{3}{10}

Posted 8 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant