Simplifying an expression with square roots

MathematicsSquare RootsEasyLGS

Published:

$$\sqrt{80} - \sqrt{45} + \sqrt{5}$$

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1
Step 1

Merhaba İnci, gel bu kareköklü ifade sorusunu birlikte çözelim.

Kareköklü İfadelerle İşlemler

2
Step 2

İşlemimiz karekök seksen, eksi karekök kırk beş, artı karekök beş şeklindedir.

$$ \sqrt{80} - \sqrt{45} + \sqrt{5}$$
3
Step 3

Kareköklü sayıları toplayıp çıkarabilmek için kök içlerinin aynı olması gerekir. O yüzden her ifadeyi bir tam kare sayı çarpımı şeklinde yazalım.

4
Step 4

Şimdi tam kareleri kök dışına çıkaralım. On altı kök dışına dört olarak çıkar.

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About This Question

Subject
Mathematics
Topic
Square Roots
Difficulty
Easy
Exam
LGS
Question Type
Open Ended

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