Find the square root of 108×2028\sqrt{108 \times 2028}108×2028.
1 Like
108×2028=108×2028=3×36×3×676=3×36×3×676=3×6×3×26=(3×3)×6×26=3×6×26=468\sqrt{108 \times 2028}\\[1em] = \sqrt{108} \times \sqrt{2028}\\[1em] = \sqrt{3 \times 36} \times \sqrt{3 \times 676}\\[1em] = \sqrt{3} \times \sqrt{36} \times \sqrt{3} \times \sqrt{676}\\[1em] = \sqrt{3} \times 6 \times \sqrt{3} \times 26\\[1em] = (\sqrt{3} \times \sqrt{3}) \times 6 \times 26\\[1em] = 3 \times 6 \times 26\\[1em] = 468108×2028=108×2028=3×36×3×676=3×36×3×676=3×6×3×26=(3×3)×6×26=3×6×26=468
Hence, 108×2028=468\sqrt{108 \times 2028} = 468108×2028=468.
Answered By
Find the square root of 17642809\dfrac{1764}{2809}28091764.
Find the square root of 5074107\dfrac{507}{4107}4107507.
Find the square root of 0.01 + 0.0064\sqrt{0.0064}0.0064.
Find the square root of 7.832 correct to 2 decimal places.