Simplify this radical.

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

6 0

Answer:

3 $\sqrt{10}$

Step-by-step explanation:

Assuming you mean $\sqrt{90}$

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$ , then

$\sqrt{90}$

= $\sqrt{9(10)}$

= $\sqrt{9$ × $\sqrt{10}$

= 3 $\sqrt{10}$

You might be interested in

Makayla is moving and must rent a truck. There is an initial charge of $40 for the rental plus a fee of $3 per mile driven. Writ

erica [24]

Answer: C = 40 + 3m

Step-by-step explanation: c = total amount of cash and 40 is the starting fee and m = miles that are driven times 3 which is amount per mile

hope this helps mark me brainliest if it helped

5 0

3 years ago

Find each absolute value | 4+2i | | 5-i | | -3i |

galina1969 [7]

How to get answer for number 1: | 4+2i |

$\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=4,\:b=2\\=\sqrt{4^2+2^2}\\Refine\\=\sqrt{20}\\\sqrt{20}=2\sqrt{5}\\=2\sqrt{5}$

How to get answer for number 2: | 5-i |

$\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=5,\:b=-1\\=\sqrt{5^2+\left(-1\right)^2}\\=\sqrt{26}$

Number 3 how to get answer: | -3i |

$\left|a+bi\right|\:=\sqrt{\left(a+bi\right)\left(a-bi\right)}=\sqrt{a^2+b^2}\\\mathrm{With\:}a=0,\:b=-3\\=\sqrt{0^2+\left(-3\right)^2}\\Refine\\=\sqrt{9}\\\sqrt{9}\\\mathrm{Factor\:the\:number:\:}\:9=3^2\\=\sqrt{3^2}\\\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a\\\sqrt{3^2}=3\\= 3$