\(\sqrt{507}=13\sqrt{3}\) and \(\sqrt{192}=8\sqrt{3}\).
Step 2
Why this answer is correct
\(13\sqrt{3}-8\sqrt{3}=5\sqrt{3}\).
Step 3
Exam Tip
Simplify radicals completely before subtracting. चरण 1: \(\sqrt{507}=13\sqrt{3}\) और \(\sqrt{192}=8\sqrt{3}\)। चरण 2: \(13\sqrt{3}-8\sqrt{3}=5\sqrt{3}\)। चरण 3: घटाने से पहले वर्गमूलों को पूरी तरह सरल करें।
\(\sqrt{147}=7\sqrt{3}\) and \(\sqrt{75}=5\sqrt{3}\).
Step 2
Why this answer is correct
\(7\sqrt{3}-5\sqrt{3}=2\sqrt{3}\).
Step 3
Exam Tip
Before subtracting radicals, convert them into like radicals. चरण 1: \(\sqrt{147}=7\sqrt{3}\) और \(\sqrt{75}=5\sqrt{3}\)। चरण 2: \(7\sqrt{3}-5\sqrt{3}=2\sqrt{3}\)। चरण 3: वर्गमूलों को घटाने से पहले समान वर्गमूल में बदलना जरूरी है।
\(\sqrt{363}=11\sqrt{3}\) and \(\sqrt{75}=5\sqrt{3}\).
Step 2
Why this answer is correct
\(11\sqrt{3}-5\sqrt{3}=6\sqrt{3}\).
Step 3
Exam Tip
Simplify radicals completely before subtracting. चरण 1: \(\sqrt{363}=11\sqrt{3}\) और \(\sqrt{75}=5\sqrt{3}\)। चरण 2: \(11\sqrt{3}-5\sqrt{3}=6\sqrt{3}\)। चरण 3: घटाने से पहले वर्गमूलों को पूरी तरह सरल करें।
\(\sqrt{98}=7\sqrt{2}\) and \(\sqrt{32}=4\sqrt{2}\).
Step 2
Why this answer is correct
\(7\sqrt{2}-4\sqrt{2}=3\sqrt{2}\).
Step 3
Exam Tip
Convert radicals into like radicals before subtracting. चरण 1: \(\sqrt{98}=7\sqrt{2}\) और \(\sqrt{32}=4\sqrt{2}\)। चरण 2: \(7\sqrt{2}-4\sqrt{2}=3\sqrt{2}\)। चरण 3: वर्गमूलों को घटाने से पहले समान वर्गमूल में बदलें।
\(\sqrt{200}=10\sqrt{2}\) and \(\sqrt{72}=6\sqrt{2}\).
Step 2
Why this answer is correct
\(10\sqrt{2}-6\sqrt{2}=4\sqrt{2}\).
Step 3
Exam Tip
Before subtracting radicals, write both terms in simplified form. चरण 1: \(\sqrt{200}=10\sqrt{2}\) और \(\sqrt{72}=6\sqrt{2}\)। चरण 2: \(10\sqrt{2}-6\sqrt{2}=4\sqrt{2}\)। चरण 3: वर्गमूल घटाने में पहले दोनों पदों को सरल रूप में लिखें।
\(\sqrt{72}=6\sqrt{2}\) and \(\sqrt{18}=3\sqrt{2}\).
Step 2
Why this answer is correct
\(6\sqrt{2}-3\sqrt{2}=3\sqrt{2}\).
Step 3
Exam Tip
Simplify both square roots before subtracting. चरण 1: \(\sqrt{72}=6\sqrt{2}\) और \(\sqrt{18}=3\sqrt{2}\)। चरण 2: \(6\sqrt{2}-3\sqrt{2}=3\sqrt{2}\)। चरण 3: घटाने से पहले दोनों वर्गमूलों को सरल करना जरूरी है।
\(\sqrt{80}=4\sqrt{5}\) and \(\sqrt{45}=3\sqrt{5}\).
Step 2
Why this answer is correct
\(4\sqrt{5}-3\sqrt{5}=\sqrt{5}\).
Step 3
Exam Tip
Before subtracting, simplify both radicals completely. चरण 1: \(\sqrt{80}=4\sqrt{5}\) और \(\sqrt{45}=3\sqrt{5}\)। चरण 2: \(4\sqrt{5}-3\sqrt{5}=\sqrt{5}\)। चरण 3: घटाने से पहले दोनों वर्गमूलों को पूरी तरह सरल करें।
\(\sqrt{45}=3\sqrt{5}\) and \(\sqrt{20}=2\sqrt{5}\).
Step 2
Why this answer is correct
\(3\sqrt{5}-2\sqrt{5}=\sqrt{5}\).
Step 3
Exam Tip
Simplify both radicals before subtracting. चरण 1: \(\sqrt{45}=3\sqrt{5}\) और \(\sqrt{20}=2\sqrt{5}\)। चरण 2: \(3\sqrt{5}-2\sqrt{5}=\sqrt{5}\)। चरण 3: घटाने से पहले दोनों वर्गमूलों को सरल करें।
