Math, asked by Nilendrasingh1947, 1 year ago

simplify: x=5+2√6. find√x+1/√x


sukanyagiri99p7vkz2: 6.28
mrOogway: Is x+1 whole under root
sukanyagiri99p7vkz2: am i right
JinKazama1: Is \nswer is 2√2
sukanyagiri99p7vkz2: plzz solve the problem soon

Answers

Answered by nithya73
0
x=9.89then √x=3.144final answer is √x+1√x=6.28

nithya73: okai iam sorry answer is 1.318
Answered by kvnmurthy19
1
It's quite clear your question is x-(1/√x)

⑴ if y= (a)+(b)+2√{(a)×(b)}=(√a+√b)²

√y=±{√a+√b}

⑵ if x=5+2√6=(3)+(2)+2√{(3)(2)}

→√x=√3 +√2

⑶ 1/√x=1/(√3+√2)=(√3-√2)/(√3+√2)(√3-√2)=(√3-√2)/(√3)²-(√2)²=(√3-√2)/(3–2)=(√3-√2)/(1)=√3-√2

⑷ ∴

x-{1/√x}

=5+2√6-(√3-√2)

=√5+2√6-√3+√2 ↙

⑸ I will do the other “possible” version of your question ,just in case someone wants to arque:

(x-1) /(√x)

=(5+2√6–1)/(√3+√2)

=(4+2√6)/(√3+√2)

=2(2+√6) /(√3+√2)

=2(2+√6)(√3-√2)/(√3+√2)(√3-√2)

=2{2√3–2√2-√2√2√3+√2√3√3}/(√3)²-(√2)²

=2(2√3–2√2–2√3+3√2)/(3–2)

=2(√2)/1

=2√2 ↙

Similar questions