Find the cube-roots of -15.625
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−15.6253=−1562510003=−15625310003\sqrt[3]{-15.625}\\[1em] = \sqrt[3]{-\dfrac{15625}{1000}}\\[1em] = -\dfrac{\sqrt[3]{15625}}{\sqrt[3]{1000}}3−15.625=3−100015625=−31000315625
Prime factors of 15625:
=−(5×5×5)×(5×5×5)310×10×103=−(5×5)10=−2510=−2.5= -\dfrac{\sqrt[3]{(5 \times 5\times 5)\times(5\times 5\times 5)}}{\sqrt[3]{10 \times 10\times 10}}\\[1em] = -\dfrac{(5 \times 5)}{10}\\[1em] = -\dfrac{25}{10}\\[1em] = - 2.5=−310×10×103(5×5×5)×(5×5×5)=−10(5×5)=−1025=−2.5
Hence, −15.6253=−2.5\sqrt[3]{-15.625} = -2.53−15.625=−2.5
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