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Which point on the number line has the coordinate \(\frac{\sqrt{225}-6}{9}\)?संख्या रेखा पर \(\frac{\sqrt{225}-6}{9}\) किस बिंदु का निर्देशांक है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(1\)\(1\)
First evaluate the square root: \(\sqrt{225}=15\). Therefore, \(\frac{\sqrt{225}-6}{9}=\frac{15-6}{9}=\frac{9}{9}=1\). Hence, the point is \(1\). Exam tip: follow the order of operations carefully; \(\frac{9}{15}\) is incorrect because it reverses the intended numerator and denominator.पहले वर्गमूल निकालें: \(\sqrt{225}=15\)। अतः \(\frac{\sqrt{225}-6}{9}=\frac{15-6}{9}=\frac{9}{9}=1\)। इसलिए संख्या रेखा पर यह बिंदु \(1\) को दर्शाता है। परीक्षा-युक्ति: वर्गमूल और भिन्न के संक्रियाओं का क्रम सही रखें; \(\frac{9}{15}\) लेना गलत होगा क्योंकि उसमें अंश-हर की स्थिति बदल जाती है।
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