Simplify the following ,leaving your answer as a surd√50 - √2 - 2√18 + √8

Mathematics

2 answers:

Katarina [22]3 years ago

7 0

Answer:

Step-by-step explanation:

√25 x√2 -√2 -2(√9x√2) + (√4x√2)

5√2 -1√2-6√2+2√2

-2√2+2√2

= 0

quester [9]3 years ago

5 0

√2×25−√2−2√2×9+√2×4=5√2−√2−6√2+2√2=0

You might be interested in

Which ordered pairs in the form (x, y)(x, y) are solutions to the equation

Doss [256]

(−6, −14)(−1, −7)
are the answers

hey! are you in 8th grade K12? if so you should join my study group on skype! if you are interested just say the word and ill send you a invite! and if you cant get skype then we can use "discord", which you can use on a web browser!
and if you know anyone who can join please direct me to them if you can :3

7 0

3 years ago

Plz..... Solve this questions for me...

faust18 [17]

$6.\\\text{We know}\ 9=3^2.\ \text{Therefore}\\\\9^2=(3^2)^2\\\\\text{use}\ (a^n)^m=a^{nm}\\\\9^2=(3^2)^2=3^{2\cdot2}=3^4\\\\\boxed{3^4=9^2}\\=================$

$7.\\METHOD\ 1:\\\\\sqrt{7^4}=\sqrt{7^{2\cdot2}}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt{(7^2)^2}\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=\boxed{7^2}\\\\METHOD\ 2:\\\\\text{use}\ a^\frac{m}{n}=\sqrt[n]{a^m}\\\\\sqrt{7^4}=7^\frac{4}{2}=\boxed{7^2}\\=================$

$8.\\5^a\times5^b=5^{11}\\\\a)\\\text{use}\ a^n\times a^m=a^{n+m}\\\\5^a\times5^b=5^{a+b}\\\\5^{a+b}=5^{11}\Rightarrow a+b=11\\\\11\ \text{is odd. The sum of even and odd is odd. Therefore}\ a\ \text{and}\ b\ \text{can't be even.}\\--------------------\\\\b)\\5\ \text{solutions}\\\\11=5+6\\11=4+7\\11=3+8\\11=2+9\\11=1+10$