Simplify:
It √18÷
5√ 18 + 3√72 - 2√162
Answers
Answer:
matter, including mineral crystals, is made up of atoms, and all atoms are made up of three main particles: protons, neutrons, and electrons. As summarized in Table 2.1, protons are positively charged, neutrons are uncharged and electrons are negatively charged. The negative charge of one electron balances the positive charge of one proton. Both protons and neutrons have a mass of 1, while electrons have almost no mass.
Step-by-step explanation:
=
5
1
Step-by-step explanation:
Given : Expression \frac{\sqrt{18}}{5\sqrt{18}+3\sqrt{72}-2\sqrt{162}}
5
18
+3
72
−2
162
18
To find : Simplify the expression ?
Solution :
\frac{\sqrt{18}}{5\sqrt{18}+3\sqrt{72}-2\sqrt{162}}
5
18
+3
72
−2
162
18
Writing in factor form,
=\frac{3\sqrt{2}}{5\times 3\sqrt{2}+3\times 6\sqrt{2}-2\times 9\sqrt{2}}=
5×3
2
+3×6
2
−2×9
2
3
2
=\frac{3\sqrt{2}}{15\sqrt{2}+18\sqrt{2}-18\sqrt{2}}=
15
2
+18
2
−18
2
3
2
=\frac{3\sqrt{2}}{(15+18-18)\sqrt{2}}=
(15+18−18)
2
3
2
=\frac{3\sqrt{2}}{15\sqrt{2}}=
15
2
3
2
=\frac{1}{5}=
5
1
Therefore, \frac{\sqrt{18}}{5\sqrt{18}+3\sqrt{72}-2\sqrt{162}}=\frac{1}{5}
5
18
+3
72
−2
162
18
=
5
1
#Learn more
Simplify (√5+√3) (√5-√3)
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