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III. Between which two consecutive integers does the square root lie? 11. V15 12. V50 13. V102 14. 138 15. 1199​

Sagot :

[tex]\huge {\blue {\underline { \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}} [/tex]

[tex]\huge\green{QUESTION}[/tex]

Between which two consecutive integers does the square root lie?

11. V15

12. V50

13. V102

14. 138

15. 1199

[tex]\huge {\blue {\underline { \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}} [/tex]

[tex]\huge\green{ANSWER}[/tex]

[tex]\tt\green{(11) \: 3< \sqrt{15}<4}[/tex]

[tex]\tt\green{(12) \: 7< \sqrt{50}<8}[/tex]

[tex]\tt\green{(13) \: 10< \sqrt{102}<11}[/tex]

[tex]\tt\green{(14) \: 11< \sqrt{138}<12}[/tex]

[tex]\tt\green{(15) \: 14< \sqrt{199}<15}[/tex]

[tex]\huge {\blue {\underline { \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}} [/tex]

[tex]\huge\green{SOLUTION}[/tex]

  • Place given number between two consecutive:

[tex]\huge\green{11.}[/tex]

Integers: [tex]\tt\green{3< \sqrt{15}<4}[/tex]

Answer: [tex]\tt\green{3< \sqrt{15}<4}[/tex]

[tex]\huge\green{12.}[/tex]

Integers: [tex]\tt\green{7< \sqrt{50}<8}[/tex]

Answer: [tex]\tt\green{7< \sqrt{50}<8}[/tex]

[tex]\huge\green{13.}[/tex]

Integers: [tex]\tt\green{10< \sqrt{102}<11}[/tex]

Answer: [tex]\tt\green{10< \sqrt{102}<11}[/tex]

[tex]\huge\green{14.}[/tex]

Integers: [tex]\tt\green{11< \sqrt{138}<12}[/tex]

Answer: [tex]\tt\green{11< \sqrt{138}<12}[/tex]

[tex]\huge\green{15.}[/tex]

Integers: [tex]\tt\green{14< \sqrt{199}<15}[/tex]

Answer: [tex]\tt\green{14< \sqrt{199}<15}[/tex]

[tex]\huge {\blue {\underline { \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}} [/tex]

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